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

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


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

Reorder the terms:
5(2 + -1x) = 3(4 + -3x)
(2 * 5 + -1x * 5) = 3(4 + -3x)
(10 + -5x) = 3(4 + -3x)
10 + -5x = (4 * 3 + -3x * 3)
10 + -5x = (12 + -9x)

Solving
10 + -5x = 12 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
10 + -5x + 9x = 12 + -9x + 9x

Combine like terms: -5x + 9x = 4x
10 + 4x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
10 + 4x = 12 + 0
10 + 4x = 12

Add '-10' to each side of the equation.
10 + -10 + 4x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 12 + -10
4x = 12 + -10

Combine like terms: 12 + -10 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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