2(1-8x)=-3(5x-3)

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Solution for 2(1-8x)=-3(5x-3) equation:


Simplifying
2(1 + -8x) = -3(5x + -3)
(1 * 2 + -8x * 2) = -3(5x + -3)
(2 + -16x) = -3(5x + -3)

Reorder the terms:
2 + -16x = -3(-3 + 5x)
2 + -16x = (-3 * -3 + 5x * -3)
2 + -16x = (9 + -15x)

Solving
2 + -16x = 9 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
2 + -16x + 15x = 9 + -15x + 15x

Combine like terms: -16x + 15x = -1x
2 + -1x = 9 + -15x + 15x

Combine like terms: -15x + 15x = 0
2 + -1x = 9 + 0
2 + -1x = 9

Add '-2' to each side of the equation.
2 + -2 + -1x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 9 + -2
-1x = 9 + -2

Combine like terms: 9 + -2 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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