7-5x=10-(6x-7)

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Solution for 7-5x=10-(6x-7) equation:


Simplifying
7 + -5x = 10 + -1(6x + -7)

Reorder the terms:
7 + -5x = 10 + -1(-7 + 6x)
7 + -5x = 10 + (-7 * -1 + 6x * -1)
7 + -5x = 10 + (7 + -6x)

Combine like terms: 10 + 7 = 17
7 + -5x = 17 + -6x

Solving
7 + -5x = 17 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + -5x + 6x = 17 + -6x + 6x

Combine like terms: -5x + 6x = 1x
7 + 1x = 17 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 1x = 17 + 0
7 + 1x = 17

Add '-7' to each side of the equation.
7 + -7 + 1x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 17 + -7
1x = 17 + -7

Combine like terms: 17 + -7 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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