5(x-1)-5=-4(3x+7)-3x

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Solution for 5(x-1)-5=-4(3x+7)-3x equation:


Simplifying
5(x + -1) + -5 = -4(3x + 7) + -3x

Reorder the terms:
5(-1 + x) + -5 = -4(3x + 7) + -3x
(-1 * 5 + x * 5) + -5 = -4(3x + 7) + -3x
(-5 + 5x) + -5 = -4(3x + 7) + -3x

Reorder the terms:
-5 + -5 + 5x = -4(3x + 7) + -3x

Combine like terms: -5 + -5 = -10
-10 + 5x = -4(3x + 7) + -3x

Reorder the terms:
-10 + 5x = -4(7 + 3x) + -3x
-10 + 5x = (7 * -4 + 3x * -4) + -3x
-10 + 5x = (-28 + -12x) + -3x

Combine like terms: -12x + -3x = -15x
-10 + 5x = -28 + -15x

Solving
-10 + 5x = -28 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-10 + 5x + 15x = -28 + -15x + 15x

Combine like terms: 5x + 15x = 20x
-10 + 20x = -28 + -15x + 15x

Combine like terms: -15x + 15x = 0
-10 + 20x = -28 + 0
-10 + 20x = -28

Add '10' to each side of the equation.
-10 + 10 + 20x = -28 + 10

Combine like terms: -10 + 10 = 0
0 + 20x = -28 + 10
20x = -28 + 10

Combine like terms: -28 + 10 = -18
20x = -18

Divide each side by '20'.
x = -0.9

Simplifying
x = -0.9

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