2(x-5)+8=3(5x-2)-8

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Solution for 2(x-5)+8=3(5x-2)-8 equation:


Simplifying
2(x + -5) + 8 = 3(5x + -2) + -8

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

Reorder the terms:
-10 + 8 + 2x = 3(5x + -2) + -8

Combine like terms: -10 + 8 = -2
-2 + 2x = 3(5x + -2) + -8

Reorder the terms:
-2 + 2x = 3(-2 + 5x) + -8
-2 + 2x = (-2 * 3 + 5x * 3) + -8
-2 + 2x = (-6 + 15x) + -8

Reorder the terms:
-2 + 2x = -6 + -8 + 15x

Combine like terms: -6 + -8 = -14
-2 + 2x = -14 + 15x

Solving
-2 + 2x = -14 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-2 + 2x + -15x = -14 + 15x + -15x

Combine like terms: 2x + -15x = -13x
-2 + -13x = -14 + 15x + -15x

Combine like terms: 15x + -15x = 0
-2 + -13x = -14 + 0
-2 + -13x = -14

Add '2' to each side of the equation.
-2 + 2 + -13x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + -13x = -14 + 2
-13x = -14 + 2

Combine like terms: -14 + 2 = -12
-13x = -12

Divide each side by '-13'.
x = 0.9230769231

Simplifying
x = 0.9230769231

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