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

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


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

Reorder the terms:
3(5 + x) + 3(x + -1) = 2(x + -1)
(5 * 3 + x * 3) + 3(x + -1) = 2(x + -1)
(15 + 3x) + 3(x + -1) = 2(x + -1)

Reorder the terms:
15 + 3x + 3(-1 + x) = 2(x + -1)
15 + 3x + (-1 * 3 + x * 3) = 2(x + -1)
15 + 3x + (-3 + 3x) = 2(x + -1)

Reorder the terms:
15 + -3 + 3x + 3x = 2(x + -1)

Combine like terms: 15 + -3 = 12
12 + 3x + 3x = 2(x + -1)

Combine like terms: 3x + 3x = 6x
12 + 6x = 2(x + -1)

Reorder the terms:
12 + 6x = 2(-1 + x)
12 + 6x = (-1 * 2 + x * 2)
12 + 6x = (-2 + 2x)

Solving
12 + 6x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 6x + -2x = -2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
12 + 4x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 4x = -2 + 0
12 + 4x = -2

Add '-12' to each side of the equation.
12 + -12 + 4x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = -2 + -12
4x = -2 + -12

Combine like terms: -2 + -12 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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