2(4x-15)=-3(-x+5)-10

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Solution for 2(4x-15)=-3(-x+5)-10 equation:


Simplifying
2(4x + -15) = -3(-1x + 5) + -10

Reorder the terms:
2(-15 + 4x) = -3(-1x + 5) + -10
(-15 * 2 + 4x * 2) = -3(-1x + 5) + -10
(-30 + 8x) = -3(-1x + 5) + -10

Reorder the terms:
-30 + 8x = -3(5 + -1x) + -10
-30 + 8x = (5 * -3 + -1x * -3) + -10
-30 + 8x = (-15 + 3x) + -10

Reorder the terms:
-30 + 8x = -15 + -10 + 3x

Combine like terms: -15 + -10 = -25
-30 + 8x = -25 + 3x

Solving
-30 + 8x = -25 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-30 + 8x + -3x = -25 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-30 + 5x = -25 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 5x = -25 + 0
-30 + 5x = -25

Add '30' to each side of the equation.
-30 + 30 + 5x = -25 + 30

Combine like terms: -30 + 30 = 0
0 + 5x = -25 + 30
5x = -25 + 30

Combine like terms: -25 + 30 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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