9(x-7)-(1-2x)=10x

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Solution for 9(x-7)-(1-2x)=10x equation:


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

Reorder the terms:
9(-7 + x) + -1(1 + -2x) = 10x
(-7 * 9 + x * 9) + -1(1 + -2x) = 10x
(-63 + 9x) + -1(1 + -2x) = 10x
-63 + 9x + (1 * -1 + -2x * -1) = 10x
-63 + 9x + (-1 + 2x) = 10x

Reorder the terms:
-63 + -1 + 9x + 2x = 10x

Combine like terms: -63 + -1 = -64
-64 + 9x + 2x = 10x

Combine like terms: 9x + 2x = 11x
-64 + 11x = 10x

Solving
-64 + 11x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-64 + 11x + -10x = 10x + -10x

Combine like terms: 11x + -10x = 1x
-64 + 1x = 10x + -10x

Combine like terms: 10x + -10x = 0
-64 + 1x = 0

Add '64' to each side of the equation.
-64 + 64 + 1x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 1x = 0 + 64
1x = 0 + 64

Combine like terms: 0 + 64 = 64
1x = 64

Divide each side by '1'.
x = 64

Simplifying
x = 64

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