3(x-1)+5=5(x+2)

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Solution for 3(x-1)+5=5(x+2) equation: 


Simplifying
3(x + -1) + 5 = 5(x + 2)

Reorder the terms:
3(-1 + x) + 5 = 5(x + 2)
(-1 * 3 + x * 3) + 5 = 5(x + 2)
(-3 + 3x) + 5 = 5(x + 2)

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

Combine like terms: -3 + 5 = 2
2 + 3x = 5(x + 2)

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

Solving
2 + 3x = 10 + 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.
2 + 3x + -5x = 10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
2 + -2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -2x = 10 + 0
2 + -2x = 10

Add '-2' to each side of the equation.
2 + -2 + -2x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 10 + -2
-2x = 10 + -2

Combine like terms: 10 + -2 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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