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

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


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

Reorder the terms:
2 + -4x = 3(2 + 5x)
2 + -4x = (2 * 3 + 5x * 3)
2 + -4x = (6 + 15x)

Solving
2 + -4x = 6 + 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 + -4x + -15x = 6 + 15x + -15x

Combine like terms: -4x + -15x = -19x
2 + -19x = 6 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -19x = 6 + 0
2 + -19x = 6

Add '-2' to each side of the equation.
2 + -2 + -19x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -19x = 6 + -2
-19x = 6 + -2

Combine like terms: 6 + -2 = 4
-19x = 4

Divide each side by '-19'.
x = -0.2105263158

Simplifying
x = -0.2105263158

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