0.5*(3-4x)=2-1.5*(6+3x)

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Solution for 0.5*(3-4x)=2-1.5*(6+3x) equation: 


Simplifying
0.5(3 + -4x) = 2 + -1.5(6 + 3x)
(3 * 0.5 + -4x * 0.5) = 2 + -1.5(6 + 3x)
(1.5 + -2x) = 2 + -1.5(6 + 3x)
1.5 + -2x = 2 + (6 * -1.5 + 3x * -1.5)
1.5 + -2x = 2 + (-9 + -4.5x)

Combine like terms: 2 + -9 = -7
1.5 + -2x = -7 + -4.5x

Solving
1.5 + -2x = -7 + -4.5x

Solving for variable 'x'.

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

Add '4.5x' to each side of the equation.
1.5 + -2x + 4.5x = -7 + -4.5x + 4.5x

Combine like terms: -2x + 4.5x = 2.5x
1.5 + 2.5x = -7 + -4.5x + 4.5x

Combine like terms: -4.5x + 4.5x = 0.0
1.5 + 2.5x = -7 + 0.0
1.5 + 2.5x = -7

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 2.5x = -7 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2.5x = -7 + -1.5
2.5x = -7 + -1.5

Combine like terms: -7 + -1.5 = -8.5
2.5x = -8.5

Divide each side by '2.5'.
x = -3.4

Simplifying
x = -3.4

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