.5(4x+3)=5x-2.5

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Solution for .5(4x+3)=5x-2.5 equation: 


Simplifying
0.5(4x + 3) = 5x + -2.5

Reorder the terms:
0.5(3 + 4x) = 5x + -2.5
(3 * 0.5 + 4x * 0.5) = 5x + -2.5
(1.5 + 2x) = 5x + -2.5

Reorder the terms:
1.5 + 2x = -2.5 + 5x

Solving
1.5 + 2x = -2.5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1.5 + 2x + -5x = -2.5 + 5x + -5x

Combine like terms: 2x + -5x = -3x
1.5 + -3x = -2.5 + 5x + -5x

Combine like terms: 5x + -5x = 0
1.5 + -3x = -2.5 + 0
1.5 + -3x = -2.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -3x = -2.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -3x = -2.5 + -1.5
-3x = -2.5 + -1.5

Combine like terms: -2.5 + -1.5 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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