5(-3x-1)=4(6x-3)

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Solution for 5(-3x-1)=4(6x-3) equation:


Simplifying
5(-3x + -1) = 4(6x + -3)

Reorder the terms:
5(-1 + -3x) = 4(6x + -3)
(-1 * 5 + -3x * 5) = 4(6x + -3)
(-5 + -15x) = 4(6x + -3)

Reorder the terms:
-5 + -15x = 4(-3 + 6x)
-5 + -15x = (-3 * 4 + 6x * 4)
-5 + -15x = (-12 + 24x)

Solving
-5 + -15x = -12 + 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.
-5 + -15x + -24x = -12 + 24x + -24x

Combine like terms: -15x + -24x = -39x
-5 + -39x = -12 + 24x + -24x

Combine like terms: 24x + -24x = 0
-5 + -39x = -12 + 0
-5 + -39x = -12

Add '5' to each side of the equation.
-5 + 5 + -39x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -39x = -12 + 5
-39x = -12 + 5

Combine like terms: -12 + 5 = -7
-39x = -7

Divide each side by '-39'.
x = 0.1794871795

Simplifying
x = 0.1794871795

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