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

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


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

Reorder the terms:
3(5 + 2x) = 4x + -8
(5 * 3 + 2x * 3) = 4x + -8
(15 + 6x) = 4x + -8

Reorder the terms:
15 + 6x = -8 + 4x

Solving
15 + 6x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
15 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 2x = -8 + 0
15 + 2x = -8

Add '-15' to each side of the equation.
15 + -15 + 2x = -8 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -8 + -15
2x = -8 + -15

Combine like terms: -8 + -15 = -23
2x = -23

Divide each side by '2'.
x = -11.5

Simplifying
x = -11.5

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