0.5(4x+6)-8=-3+5(1x-2)

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Solution for 0.5(4x+6)-8=-3+5(1x-2) equation:


Simplifying
0.5(4x + 6) + -8 = -3 + 5(1x + -2)

Reorder the terms:
0.5(6 + 4x) + -8 = -3 + 5(1x + -2)
(6 * 0.5 + 4x * 0.5) + -8 = -3 + 5(1x + -2)
(3 + 2x) + -8 = -3 + 5(1x + -2)

Reorder the terms:
3 + -8 + 2x = -3 + 5(1x + -2)

Combine like terms: 3 + -8 = -5
-5 + 2x = -3 + 5(1x + -2)

Reorder the terms:
-5 + 2x = -3 + 5(-2 + 1x)
-5 + 2x = -3 + (-2 * 5 + 1x * 5)
-5 + 2x = -3 + (-10 + 5x)

Combine like terms: -3 + -10 = -13
-5 + 2x = -13 + 5x

Solving
-5 + 2x = -13 + 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.
-5 + 2x + -5x = -13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-5 + -3x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -3x = -13 + 0
-5 + -3x = -13

Add '5' to each side of the equation.
-5 + 5 + -3x = -13 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -13 + 5
-3x = -13 + 5

Combine like terms: -13 + 5 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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