-3(5x+2)-10=2(4x-16)-2

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Solution for -3(5x+2)-10=2(4x-16)-2 equation:


Simplifying
-3(5x + 2) + -10 = 2(4x + -16) + -2

Reorder the terms:
-3(2 + 5x) + -10 = 2(4x + -16) + -2
(2 * -3 + 5x * -3) + -10 = 2(4x + -16) + -2
(-6 + -15x) + -10 = 2(4x + -16) + -2

Reorder the terms:
-6 + -10 + -15x = 2(4x + -16) + -2

Combine like terms: -6 + -10 = -16
-16 + -15x = 2(4x + -16) + -2

Reorder the terms:
-16 + -15x = 2(-16 + 4x) + -2
-16 + -15x = (-16 * 2 + 4x * 2) + -2
-16 + -15x = (-32 + 8x) + -2

Reorder the terms:
-16 + -15x = -32 + -2 + 8x

Combine like terms: -32 + -2 = -34
-16 + -15x = -34 + 8x

Solving
-16 + -15x = -34 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-16 + -15x + -8x = -34 + 8x + -8x

Combine like terms: -15x + -8x = -23x
-16 + -23x = -34 + 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + -23x = -34 + 0
-16 + -23x = -34

Add '16' to each side of the equation.
-16 + 16 + -23x = -34 + 16

Combine like terms: -16 + 16 = 0
0 + -23x = -34 + 16
-23x = -34 + 16

Combine like terms: -34 + 16 = -18
-23x = -18

Divide each side by '-23'.
x = 0.7826086957

Simplifying
x = 0.7826086957

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