-5(2x-1)=3(3x+4)

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Solution for -5(2x-1)=3(3x+4) equation:


Simplifying
-5(2x + -1) = 3(3x + 4)

Reorder the terms:
-5(-1 + 2x) = 3(3x + 4)
(-1 * -5 + 2x * -5) = 3(3x + 4)
(5 + -10x) = 3(3x + 4)

Reorder the terms:
5 + -10x = 3(4 + 3x)
5 + -10x = (4 * 3 + 3x * 3)
5 + -10x = (12 + 9x)

Solving
5 + -10x = 12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
5 + -10x + -9x = 12 + 9x + -9x

Combine like terms: -10x + -9x = -19x
5 + -19x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -19x = 12 + 0
5 + -19x = 12

Add '-5' to each side of the equation.
5 + -5 + -19x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -19x = 12 + -5
-19x = 12 + -5

Combine like terms: 12 + -5 = 7
-19x = 7

Divide each side by '-19'.
x = -0.3684210526

Simplifying
x = -0.3684210526

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