-5(2x-15)=2(x-9)-3

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Solution for -5(2x-15)=2(x-9)-3 equation:


Simplifying
-5(2x + -15) = 2(x + -9) + -3

Reorder the terms:
-5(-15 + 2x) = 2(x + -9) + -3
(-15 * -5 + 2x * -5) = 2(x + -9) + -3
(75 + -10x) = 2(x + -9) + -3

Reorder the terms:
75 + -10x = 2(-9 + x) + -3
75 + -10x = (-9 * 2 + x * 2) + -3
75 + -10x = (-18 + 2x) + -3

Reorder the terms:
75 + -10x = -18 + -3 + 2x

Combine like terms: -18 + -3 = -21
75 + -10x = -21 + 2x

Solving
75 + -10x = -21 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
75 + -10x + -2x = -21 + 2x + -2x

Combine like terms: -10x + -2x = -12x
75 + -12x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0
75 + -12x = -21 + 0
75 + -12x = -21

Add '-75' to each side of the equation.
75 + -75 + -12x = -21 + -75

Combine like terms: 75 + -75 = 0
0 + -12x = -21 + -75
-12x = -21 + -75

Combine like terms: -21 + -75 = -96
-12x = -96

Divide each side by '-12'.
x = 8

Simplifying
x = 8

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