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

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


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

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

Combine like terms: 4x + 5x = 9x
-8 + 9x = 2(3x + -8)

Reorder the terms:
-8 + 9x = 2(-8 + 3x)
-8 + 9x = (-8 * 2 + 3x * 2)
-8 + 9x = (-16 + 6x)

Solving
-8 + 9x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 9x + -6x = -16 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-8 + 3x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + 3x = -16 + 0
-8 + 3x = -16

Add '8' to each side of the equation.
-8 + 8 + 3x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -16 + 8
3x = -16 + 8

Combine like terms: -16 + 8 = -8
3x = -8

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

Simplifying
x = -2.666666667

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