-6(.75x-2)+3=-.5x+7

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Solution for -6(.75x-2)+3=-.5x+7 equation:


Simplifying
-6(0.75x + -2) + 3 = -0.5x + 7

Reorder the terms:
-6(-2 + 0.75x) + 3 = -0.5x + 7
(-2 * -6 + 0.75x * -6) + 3 = -0.5x + 7
(12 + -4.5x) + 3 = -0.5x + 7

Reorder the terms:
12 + 3 + -4.5x = -0.5x + 7

Combine like terms: 12 + 3 = 15
15 + -4.5x = -0.5x + 7

Reorder the terms:
15 + -4.5x = 7 + -0.5x

Solving
15 + -4.5x = 7 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
15 + -4.5x + 0.5x = 7 + -0.5x + 0.5x

Combine like terms: -4.5x + 0.5x = -4x
15 + -4x = 7 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
15 + -4x = 7 + 0.0
15 + -4x = 7

Add '-15' to each side of the equation.
15 + -15 + -4x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 7 + -15
-4x = 7 + -15

Combine like terms: 7 + -15 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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