4(x+3)+(x-5)=2(x-9)

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Solution for 4(x+3)+(x-5)=2(x-9) equation:


Simplifying
4(x + 3) + (x + -5) = 2(x + -9)

Reorder the terms:
4(3 + x) + (x + -5) = 2(x + -9)
(3 * 4 + x * 4) + (x + -5) = 2(x + -9)
(12 + 4x) + (x + -5) = 2(x + -9)

Reorder the terms:
12 + 4x + (-5 + x) = 2(x + -9)

Remove parenthesis around (-5 + x)
12 + 4x + -5 + x = 2(x + -9)

Reorder the terms:
12 + -5 + 4x + x = 2(x + -9)

Combine like terms: 12 + -5 = 7
7 + 4x + x = 2(x + -9)

Combine like terms: 4x + x = 5x
7 + 5x = 2(x + -9)

Reorder the terms:
7 + 5x = 2(-9 + x)
7 + 5x = (-9 * 2 + x * 2)
7 + 5x = (-18 + 2x)

Solving
7 + 5x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 5x + -2x = -18 + 2x + -2x

Combine like terms: 5x + -2x = 3x
7 + 3x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 3x = -18 + 0
7 + 3x = -18

Add '-7' to each side of the equation.
7 + -7 + 3x = -18 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -18 + -7
3x = -18 + -7

Combine like terms: -18 + -7 = -25
3x = -25

Divide each side by '3'.
x = -8.333333333

Simplifying
x = -8.333333333

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