13=5(x-2)-(x-7)

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Solution for 13=5(x-2)-(x-7) equation:


Simplifying
13 = 5(x + -2) + -1(x + -7)

Reorder the terms:
13 = 5(-2 + x) + -1(x + -7)
13 = (-2 * 5 + x * 5) + -1(x + -7)
13 = (-10 + 5x) + -1(x + -7)

Reorder the terms:
13 = -10 + 5x + -1(-7 + x)
13 = -10 + 5x + (-7 * -1 + x * -1)
13 = -10 + 5x + (7 + -1x)

Reorder the terms:
13 = -10 + 7 + 5x + -1x

Combine like terms: -10 + 7 = -3
13 = -3 + 5x + -1x

Combine like terms: 5x + -1x = 4x
13 = -3 + 4x

Solving
13 = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + -4x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -4x = -3 + 0
13 + -4x = -3

Add '-13' to each side of the equation.
13 + -13 + -4x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -3 + -13
-4x = -3 + -13

Combine like terms: -3 + -13 = -16
-4x = -16

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

Simplifying
x = 4

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