.75(2x-7)=-0.125(5-2x)

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Solution for .75(2x-7)=-0.125(5-2x) equation: 


Simplifying
0.75(2x + -7) = -0.125(5 + -2x)

Reorder the terms:
0.75(-7 + 2x) = -0.125(5 + -2x)
(-7 * 0.75 + 2x * 0.75) = -0.125(5 + -2x)
(-5.25 + 1.5x) = -0.125(5 + -2x)
-5.25 + 1.5x = (5 * -0.125 + -2x * -0.125)
-5.25 + 1.5x = (-0.625 + 0.25x)

Solving
-5.25 + 1.5x = -0.625 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
-5.25 + 1.5x + -0.25x = -0.625 + 0.25x + -0.25x

Combine like terms: 1.5x + -0.25x = 1.25x
-5.25 + 1.25x = -0.625 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
-5.25 + 1.25x = -0.625 + 0.00
-5.25 + 1.25x = -0.625

Add '5.25' to each side of the equation.
-5.25 + 5.25 + 1.25x = -0.625 + 5.25

Combine like terms: -5.25 + 5.25 = 0.00
0.00 + 1.25x = -0.625 + 5.25
1.25x = -0.625 + 5.25

Combine like terms: -0.625 + 5.25 = 4.625
1.25x = 4.625

Divide each side by '1.25'.
x = 3.7

Simplifying
x = 3.7

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