-56=7(3x-3)-7(x-5)

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Solution for -56=7(3x-3)-7(x-5) equation:


Simplifying
-56 = 7(3x + -3) + -7(x + -5)

Reorder the terms:
-56 = 7(-3 + 3x) + -7(x + -5)
-56 = (-3 * 7 + 3x * 7) + -7(x + -5)
-56 = (-21 + 21x) + -7(x + -5)

Reorder the terms:
-56 = -21 + 21x + -7(-5 + x)
-56 = -21 + 21x + (-5 * -7 + x * -7)
-56 = -21 + 21x + (35 + -7x)

Reorder the terms:
-56 = -21 + 35 + 21x + -7x

Combine like terms: -21 + 35 = 14
-56 = 14 + 21x + -7x

Combine like terms: 21x + -7x = 14x
-56 = 14 + 14x

Solving
-56 = 14 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-56 + -14x = 14 + 14x + -14x

Combine like terms: 14x + -14x = 0
-56 + -14x = 14 + 0
-56 + -14x = 14

Add '56' to each side of the equation.
-56 + 56 + -14x = 14 + 56

Combine like terms: -56 + 56 = 0
0 + -14x = 14 + 56
-14x = 14 + 56

Combine like terms: 14 + 56 = 70
-14x = 70

Divide each side by '-14'.
x = -5

Simplifying
x = -5

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