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

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


Simplifying
3(1 + -3x) = 2(5x + 4)
(1 * 3 + -3x * 3) = 2(5x + 4)
(3 + -9x) = 2(5x + 4)

Reorder the terms:
3 + -9x = 2(4 + 5x)
3 + -9x = (4 * 2 + 5x * 2)
3 + -9x = (8 + 10x)

Solving
3 + -9x = 8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + -9x + -10x = 8 + 10x + -10x

Combine like terms: -9x + -10x = -19x
3 + -19x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -19x = 8 + 0
3 + -19x = 8

Add '-3' to each side of the equation.
3 + -3 + -19x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -19x = 8 + -3
-19x = 8 + -3

Combine like terms: 8 + -3 = 5
-19x = 5

Divide each side by '-19'.
x = -0.2631578947

Simplifying
x = -0.2631578947

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