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

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


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

Reorder the terms:
5(3 + 2x) = 4x + -8
(3 * 5 + 2x * 5) = 4x + -8
(15 + 10x) = 4x + -8

Reorder the terms:
15 + 10x = -8 + 4x

Solving
15 + 10x = -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 + 10x + -4x = -8 + 4x + -4x

Combine like terms: 10x + -4x = 6x
15 + 6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 6x = -8 + 0
15 + 6x = -8

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

Combine like terms: 15 + -15 = 0
0 + 6x = -8 + -15
6x = -8 + -15

Combine like terms: -8 + -15 = -23
6x = -23

Divide each side by '6'.
x = -3.833333333

Simplifying
x = -3.833333333

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