5x-2+8x=3(5x-4)

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Solution for 5x-2+8x=3(5x-4) equation:


Simplifying
5x + -2 + 8x = 3(5x + -4)

Reorder the terms:
-2 + 5x + 8x = 3(5x + -4)

Combine like terms: 5x + 8x = 13x
-2 + 13x = 3(5x + -4)

Reorder the terms:
-2 + 13x = 3(-4 + 5x)
-2 + 13x = (-4 * 3 + 5x * 3)
-2 + 13x = (-12 + 15x)

Solving
-2 + 13x = -12 + 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 + 13x + -15x = -12 + 15x + -15x

Combine like terms: 13x + -15x = -2x
-2 + -2x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
-2 + -2x = -12 + 0
-2 + -2x = -12

Add '2' to each side of the equation.
-2 + 2 + -2x = -12 + 2

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

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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