2(x-3)+.5(4x-8)=3x-8

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Solution for 2(x-3)+.5(4x-8)=3x-8 equation:


Simplifying
2(x + -3) + 0.5(4x + -8) = 3x + -8

Reorder the terms:
2(-3 + x) + 0.5(4x + -8) = 3x + -8
(-3 * 2 + x * 2) + 0.5(4x + -8) = 3x + -8
(-6 + 2x) + 0.5(4x + -8) = 3x + -8

Reorder the terms:
-6 + 2x + 0.5(-8 + 4x) = 3x + -8
-6 + 2x + (-8 * 0.5 + 4x * 0.5) = 3x + -8
-6 + 2x + (-4 + 2x) = 3x + -8

Reorder the terms:
-6 + -4 + 2x + 2x = 3x + -8

Combine like terms: -6 + -4 = -10
-10 + 2x + 2x = 3x + -8

Combine like terms: 2x + 2x = 4x
-10 + 4x = 3x + -8

Reorder the terms:
-10 + 4x = -8 + 3x

Solving
-10 + 4x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 4x + -3x = -8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = -8 + 0
-10 + 1x = -8

Add '10' to each side of the equation.
-10 + 10 + 1x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -8 + 10
1x = -8 + 10

Combine like terms: -8 + 10 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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