-5(3x-15)=2(x-5)-51

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Solution for -5(3x-15)=2(x-5)-51 equation:


Simplifying
-5(3x + -15) = 2(x + -5) + -51

Reorder the terms:
-5(-15 + 3x) = 2(x + -5) + -51
(-15 * -5 + 3x * -5) = 2(x + -5) + -51
(75 + -15x) = 2(x + -5) + -51

Reorder the terms:
75 + -15x = 2(-5 + x) + -51
75 + -15x = (-5 * 2 + x * 2) + -51
75 + -15x = (-10 + 2x) + -51

Reorder the terms:
75 + -15x = -10 + -51 + 2x

Combine like terms: -10 + -51 = -61
75 + -15x = -61 + 2x

Solving
75 + -15x = -61 + 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 + -15x + -2x = -61 + 2x + -2x

Combine like terms: -15x + -2x = -17x
75 + -17x = -61 + 2x + -2x

Combine like terms: 2x + -2x = 0
75 + -17x = -61 + 0
75 + -17x = -61

Add '-75' to each side of the equation.
75 + -75 + -17x = -61 + -75

Combine like terms: 75 + -75 = 0
0 + -17x = -61 + -75
-17x = -61 + -75

Combine like terms: -61 + -75 = -136
-17x = -136

Divide each side by '-17'.
x = 8

Simplifying
x = 8

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