10x-(x-7)4=128+x

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Solution for 10x-(x-7)4=128+x equation:


Simplifying
10x + -1(x + -7) * 4 = 128 + x

Reorder the terms:
10x + -1(-7 + x) * 4 = 128 + x

Reorder the terms for easier multiplication:
10x + -1 * 4(-7 + x) = 128 + x

Multiply -1 * 4
10x + -4(-7 + x) = 128 + x
10x + (-7 * -4 + x * -4) = 128 + x
10x + (28 + -4x) = 128 + x

Reorder the terms:
28 + 10x + -4x = 128 + x

Combine like terms: 10x + -4x = 6x
28 + 6x = 128 + x

Solving
28 + 6x = 128 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
28 + 6x + -1x = 128 + x + -1x

Combine like terms: 6x + -1x = 5x
28 + 5x = 128 + x + -1x

Combine like terms: x + -1x = 0
28 + 5x = 128 + 0
28 + 5x = 128

Add '-28' to each side of the equation.
28 + -28 + 5x = 128 + -28

Combine like terms: 28 + -28 = 0
0 + 5x = 128 + -28
5x = 128 + -28

Combine like terms: 128 + -28 = 100
5x = 100

Divide each side by '5'.
x = 20

Simplifying
x = 20

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