0.75(2x-3)-.05(6-x)=1.5x+3

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Solution for 0.75(2x-3)-.05(6-x)=1.5x+3 equation:


Simplifying
0.75(2x + -3) + -0.05(6 + -1x) = 1.5x + 3

Reorder the terms:
0.75(-3 + 2x) + -0.05(6 + -1x) = 1.5x + 3
(-3 * 0.75 + 2x * 0.75) + -0.05(6 + -1x) = 1.5x + 3
(-2.25 + 1.5x) + -0.05(6 + -1x) = 1.5x + 3
-2.25 + 1.5x + (6 * -0.05 + -1x * -0.05) = 1.5x + 3
-2.25 + 1.5x + (-0.3 + 0.05x) = 1.5x + 3

Reorder the terms:
-2.25 + -0.3 + 1.5x + 0.05x = 1.5x + 3

Combine like terms: -2.25 + -0.3 = -2.55
-2.55 + 1.5x + 0.05x = 1.5x + 3

Combine like terms: 1.5x + 0.05x = 1.55x
-2.55 + 1.55x = 1.5x + 3

Reorder the terms:
-2.55 + 1.55x = 3 + 1.5x

Solving
-2.55 + 1.55x = 3 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-2.55 + 1.55x + -1.5x = 3 + 1.5x + -1.5x

Combine like terms: 1.55x + -1.5x = 0.05x
-2.55 + 0.05x = 3 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-2.55 + 0.05x = 3 + 0.0
-2.55 + 0.05x = 3

Add '2.55' to each side of the equation.
-2.55 + 2.55 + 0.05x = 3 + 2.55

Combine like terms: -2.55 + 2.55 = 0.00
0.00 + 0.05x = 3 + 2.55
0.05x = 3 + 2.55

Combine like terms: 3 + 2.55 = 5.55
0.05x = 5.55

Divide each side by '0.05'.
x = 111

Simplifying
x = 111

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