6(x-1)+2(x+1)=10+7x

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Solution for 6(x-1)+2(x+1)=10+7x equation:


Simplifying
6(x + -1) + 2(x + 1) = 10 + 7x

Reorder the terms:
6(-1 + x) + 2(x + 1) = 10 + 7x
(-1 * 6 + x * 6) + 2(x + 1) = 10 + 7x
(-6 + 6x) + 2(x + 1) = 10 + 7x

Reorder the terms:
-6 + 6x + 2(1 + x) = 10 + 7x
-6 + 6x + (1 * 2 + x * 2) = 10 + 7x
-6 + 6x + (2 + 2x) = 10 + 7x

Reorder the terms:
-6 + 2 + 6x + 2x = 10 + 7x

Combine like terms: -6 + 2 = -4
-4 + 6x + 2x = 10 + 7x

Combine like terms: 6x + 2x = 8x
-4 + 8x = 10 + 7x

Solving
-4 + 8x = 10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-4 + 8x + -7x = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-4 + 1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + 1x = 10 + 0
-4 + 1x = 10

Add '4' to each side of the equation.
-4 + 4 + 1x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 10 + 4
1x = 10 + 4

Combine like terms: 10 + 4 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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