3(x-1)=18-5(x+1)

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Solution for 3(x-1)=18-5(x+1) equation:


Simplifying
3(x + -1) = 18 + -5(x + 1)

Reorder the terms:
3(-1 + x) = 18 + -5(x + 1)
(-1 * 3 + x * 3) = 18 + -5(x + 1)
(-3 + 3x) = 18 + -5(x + 1)

Reorder the terms:
-3 + 3x = 18 + -5(1 + x)
-3 + 3x = 18 + (1 * -5 + x * -5)
-3 + 3x = 18 + (-5 + -5x)

Combine like terms: 18 + -5 = 13
-3 + 3x = 13 + -5x

Solving
-3 + 3x = 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.
-3 + 3x + 5x = 13 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
-3 + 8x = 13 + 0
-3 + 8x = 13

Add '3' to each side of the equation.
-3 + 3 + 8x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 13 + 3
8x = 13 + 3

Combine like terms: 13 + 3 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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