-3(x-5)=-2(-2x+15)+10

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Solution for -3(x-5)=-2(-2x+15)+10 equation: 


Simplifying
-3(x + -5) = -2(-2x + 15) + 10

Reorder the terms:
-3(-5 + x) = -2(-2x + 15) + 10
(-5 * -3 + x * -3) = -2(-2x + 15) + 10
(15 + -3x) = -2(-2x + 15) + 10

Reorder the terms:
15 + -3x = -2(15 + -2x) + 10
15 + -3x = (15 * -2 + -2x * -2) + 10
15 + -3x = (-30 + 4x) + 10

Reorder the terms:
15 + -3x = -30 + 10 + 4x

Combine like terms: -30 + 10 = -20
15 + -3x = -20 + 4x

Solving
15 + -3x = -20 + 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.
15 + -3x + -4x = -20 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = -20 + 0
15 + -7x = -20

Add '-15' to each side of the equation.
15 + -15 + -7x = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -20 + -15
-7x = -20 + -15

Combine like terms: -20 + -15 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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