Solve for x, 10 points!!

4(x-2)=10+2(3x+1)

4(x-2)=10+2(3x+1)

Multiply 2 by each term inside the parentheses.
4(x-2)=10+(6x+2)

Add 2 to 10 to get 12.
4(x-2)=12+6x

Reorder the polynomial 12+6x alphabetically from left to right, starting with the highest order term.
4(x-2)=6x+12

Multiply 4 by each term inside the parentheses.
(4x-8)=6x+12

Remove the parentheses around the expression 4x-8.
4x-8=6x+12

Since 6x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 6x from both sides.
4x-8-6x=12

Since 4x and -6x are like terms, add -6x to 4x to get -2x.
-2x-8=12

Since -8 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 8 to both sides.
-2x=8+12

Add 12 to 8 to get 20.
-2x=20

Divide each term in the equation by -2.
-(2x)/(-2)=(20)/(-2)

Simplify the left-hand side of the equation by canceling the common terms.
x=(20)/(-2)

Simplify the right-hand side of the equation by simplifying each term.
x=-10

Distribute the factors into the appropriate brackets:

4x - 8 = 10 + 6x + 2
add coefficients together
4x - 8 = 6x + 12
Subtract 4x from both sides
-8 = 2x + 12
subtract 12 from both sides
-20 = 2x
divide both sides by 2

4(x-2)=10+2(3x+1)
Step 1 distribute: 4x-8=10+6x+2

Step 2 collect like terms: 4x-8=12+6x

Step 3 subtract 4x to both sides: -8=12+2x

Step 4 subtract 12 to both sides: -20=2x

Step 5 divide both sides by 2: -10=x

Solve for x, distribute: 4x - 8 = 10 + 6x + 2

Subtract 4x to both sides: -8 = 6x - 4x + 10 + 2

Combine x: -8 = 2x + 10 + 2

Simplify: -8 = 2x + 12

Subtract 12 to both sides: -20 = 2x

Divide 2 to both sides: x = -10

Expand the brackets:
4x-8=10+6x+2
Simplify:
4x-8=12+6x
Add 8 to each side:
4x=20+6x
Subtract 6x from each side:
-2x=20
Divide both sides by 2:
-x=10
Multiply both sides by -1:
x=-10

4x-8 = 10 + 6x + 2
-2x = 20
x = -10

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