5(-3x+1)=3(1-8x)

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Solution for 5(-3x+1)=3(1-8x) equation:


Simplifying
5(-3x + 1) = 3(1 + -8x)

Reorder the terms:
5(1 + -3x) = 3(1 + -8x)
(1 * 5 + -3x * 5) = 3(1 + -8x)
(5 + -15x) = 3(1 + -8x)
5 + -15x = (1 * 3 + -8x * 3)
5 + -15x = (3 + -24x)

Solving
5 + -15x = 3 + -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 = 3 + -24x + 24x

Combine like terms: -15x + 24x = 9x
5 + 9x = 3 + -24x + 24x

Combine like terms: -24x + 24x = 0
5 + 9x = 3 + 0
5 + 9x = 3

Add '-5' to each side of the equation.
5 + -5 + 9x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = 3 + -5
9x = 3 + -5

Combine like terms: 3 + -5 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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