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

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


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

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

Reorder the terms:
-5 + 5x = -3(3 + x) + 18
-5 + 5x = (3 * -3 + x * -3) + 18
-5 + 5x = (-9 + -3x) + 18

Reorder the terms:
-5 + 5x = -9 + 18 + -3x

Combine like terms: -9 + 18 = 9
-5 + 5x = 9 + -3x

Solving
-5 + 5x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-5 + 5x + 3x = 9 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-5 + 8x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 8x = 9 + 0
-5 + 8x = 9

Add '5' to each side of the equation.
-5 + 5 + 8x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = 9 + 5
8x = 9 + 5

Combine like terms: 9 + 5 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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