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

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


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

Reorder the terms:
0.5x + -4(-3 + x) = 5x + -3
0.5x + (-3 * -4 + x * -4) = 5x + -3
0.5x + (12 + -4x) = 5x + -3

Reorder the terms:
12 + 0.5x + -4x = 5x + -3

Combine like terms: 0.5x + -4x = -3.5x
12 + -3.5x = 5x + -3

Reorder the terms:
12 + -3.5x = -3 + 5x

Solving
12 + -3.5x = -3 + 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.
12 + -3.5x + -5x = -3 + 5x + -5x

Combine like terms: -3.5x + -5x = -8.5x
12 + -8.5x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -8.5x = -3 + 0
12 + -8.5x = -3

Add '-12' to each side of the equation.
12 + -12 + -8.5x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -8.5x = -3 + -12
-8.5x = -3 + -12

Combine like terms: -3 + -12 = -15
-8.5x = -15

Divide each side by '-8.5'.
x = 1.764705882

Simplifying
x = 1.764705882

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