5(x-1)=-3(x+3)+34

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Solution for 5(x-1)=-3(x+3)+34 equation:


Simplifying
5(x + -1) = -3(x + 3) + 34

Reorder the terms:
5(-1 + x) = -3(x + 3) + 34
(-1 * 5 + x * 5) = -3(x + 3) + 34
(-5 + 5x) = -3(x + 3) + 34

Reorder the terms:
-5 + 5x = -3(3 + x) + 34
-5 + 5x = (3 * -3 + x * -3) + 34
-5 + 5x = (-9 + -3x) + 34

Reorder the terms:
-5 + 5x = -9 + 34 + -3x

Combine like terms: -9 + 34 = 25
-5 + 5x = 25 + -3x

Solving
-5 + 5x = 25 + -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 = 25 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-5 + 8x = 25 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 8x = 25 + 0
-5 + 8x = 25

Add '5' to each side of the equation.
-5 + 5 + 8x = 25 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = 25 + 5
8x = 25 + 5

Combine like terms: 25 + 5 = 30
8x = 30

Divide each side by '8'.
x = 3.75

Simplifying
x = 3.75

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