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

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


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

Reorder the terms:
4(-3 + x) + 5x = -1(x + -8)
(-3 * 4 + x * 4) + 5x = -1(x + -8)
(-12 + 4x) + 5x = -1(x + -8)

Combine like terms: 4x + 5x = 9x
-12 + 9x = -1(x + -8)

Reorder the terms:
-12 + 9x = -1(-8 + x)
-12 + 9x = (-8 * -1 + x * -1)
-12 + 9x = (8 + -1x)

Solving
-12 + 9x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + 9x + x = 8 + -1x + x

Combine like terms: 9x + x = 10x
-12 + 10x = 8 + -1x + x

Combine like terms: -1x + x = 0
-12 + 10x = 8 + 0
-12 + 10x = 8

Add '12' to each side of the equation.
-12 + 12 + 10x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 8 + 12
10x = 8 + 12

Combine like terms: 8 + 12 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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