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

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


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

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

Reorder the terms:
15 + -10x = 8(4 + 3x)
15 + -10x = (4 * 8 + 3x * 8)
15 + -10x = (32 + 24x)

Solving
15 + -10x = 32 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
15 + -10x + -24x = 32 + 24x + -24x

Combine like terms: -10x + -24x = -34x
15 + -34x = 32 + 24x + -24x

Combine like terms: 24x + -24x = 0
15 + -34x = 32 + 0
15 + -34x = 32

Add '-15' to each side of the equation.
15 + -15 + -34x = 32 + -15

Combine like terms: 15 + -15 = 0
0 + -34x = 32 + -15
-34x = 32 + -15

Combine like terms: 32 + -15 = 17
-34x = 17

Divide each side by '-34'.
x = -0.5

Simplifying
x = -0.5

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