5(x-2)=-3x+30

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Solution for 5(x-2)=-3x+30 equation:


Simplifying
5(x + -2) = -3x + 30

Reorder the terms:
5(-2 + x) = -3x + 30
(-2 * 5 + x * 5) = -3x + 30
(-10 + 5x) = -3x + 30

Reorder the terms:
-10 + 5x = 30 + -3x

Solving
-10 + 5x = 30 + -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.
-10 + 5x + 3x = 30 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-10 + 8x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 8x = 30 + 0
-10 + 8x = 30

Add '10' to each side of the equation.
-10 + 10 + 8x = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 30 + 10
8x = 30 + 10

Combine like terms: 30 + 10 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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