20=5(x-3)-(x-7)

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Solution for 20=5(x-3)-(x-7) equation:


Simplifying
20 = 5(x + -3) + -1(x + -7)

Reorder the terms:
20 = 5(-3 + x) + -1(x + -7)
20 = (-3 * 5 + x * 5) + -1(x + -7)
20 = (-15 + 5x) + -1(x + -7)

Reorder the terms:
20 = -15 + 5x + -1(-7 + x)
20 = -15 + 5x + (-7 * -1 + x * -1)
20 = -15 + 5x + (7 + -1x)

Reorder the terms:
20 = -15 + 7 + 5x + -1x

Combine like terms: -15 + 7 = -8
20 = -8 + 5x + -1x

Combine like terms: 5x + -1x = 4x
20 = -8 + 4x

Solving
20 = -8 + 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.
20 + -4x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -4x = -8 + 0
20 + -4x = -8

Add '-20' to each side of the equation.
20 + -20 + -4x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -8 + -20
-4x = -8 + -20

Combine like terms: -8 + -20 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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