3(x-1)+30=5(x+3)

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Solution for 3(x-1)+30=5(x+3) equation:


Simplifying
3(x + -1) + 30 = 5(x + 3)

Reorder the terms:
3(-1 + x) + 30 = 5(x + 3)
(-1 * 3 + x * 3) + 30 = 5(x + 3)
(-3 + 3x) + 30 = 5(x + 3)

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

Combine like terms: -3 + 30 = 27
27 + 3x = 5(x + 3)

Reorder the terms:
27 + 3x = 5(3 + x)
27 + 3x = (3 * 5 + x * 5)
27 + 3x = (15 + 5x)

Solving
27 + 3x = 15 + 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.
27 + 3x + -5x = 15 + 5x + -5x

Combine like terms: 3x + -5x = -2x
27 + -2x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
27 + -2x = 15 + 0
27 + -2x = 15

Add '-27' to each side of the equation.
27 + -27 + -2x = 15 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = 15 + -27
-2x = 15 + -27

Combine like terms: 15 + -27 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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