5(X-1)-7=-3(-8x+5)-7x

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Solution for 5(X-1)-7=-3(-8x+5)-7x equation: 


Simplifying
5(X + -1) + -7 = -3(-8x + 5) + -7x

Reorder the terms:
5(-1 + X) + -7 = -3(-8x + 5) + -7x
(-1 * 5 + X * 5) + -7 = -3(-8x + 5) + -7x
(-5 + 5X) + -7 = -3(-8x + 5) + -7x

Reorder the terms:
-5 + -7 + 5X = -3(-8x + 5) + -7x

Combine like terms: -5 + -7 = -12
-12 + 5X = -3(-8x + 5) + -7x

Reorder the terms:
-12 + 5X = -3(5 + -8x) + -7x
-12 + 5X = (5 * -3 + -8x * -3) + -7x
-12 + 5X = (-15 + 24x) + -7x

Combine like terms: 24x + -7x = 17x
-12 + 5X = -15 + 17x

Solving
-12 + 5X = -15 + 17x

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 12 + 5X = -15 + 12 + 17x

Combine like terms: -12 + 12 = 0
0 + 5X = -15 + 12 + 17x
5X = -15 + 12 + 17x

Combine like terms: -15 + 12 = -3
5X = -3 + 17x

Divide each side by '5'.
X = -0.6 + 3.4x

Simplifying
X = -0.6 + 3.4x

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