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

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


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

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

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

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

Solving
10 + 8x = 6 + 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.
10 + 8x + -7x = 6 + 7x + -7x

Combine like terms: 8x + -7x = 1x
10 + 1x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + 1x = 6 + 0
10 + 1x = 6

Add '-10' to each side of the equation.
10 + -10 + 1x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 6 + -10
1x = 6 + -10

Combine like terms: 6 + -10 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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