3(x+1)+5(2x-2)=3(3x-4)

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Solution for 3(x+1)+5(2x-2)=3(3x-4) equation:


Simplifying
3(x + 1) + 5(2x + -2) = 3(3x + -4)

Reorder the terms:
3(1 + x) + 5(2x + -2) = 3(3x + -4)
(1 * 3 + x * 3) + 5(2x + -2) = 3(3x + -4)
(3 + 3x) + 5(2x + -2) = 3(3x + -4)

Reorder the terms:
3 + 3x + 5(-2 + 2x) = 3(3x + -4)
3 + 3x + (-2 * 5 + 2x * 5) = 3(3x + -4)
3 + 3x + (-10 + 10x) = 3(3x + -4)

Reorder the terms:
3 + -10 + 3x + 10x = 3(3x + -4)

Combine like terms: 3 + -10 = -7
-7 + 3x + 10x = 3(3x + -4)

Combine like terms: 3x + 10x = 13x
-7 + 13x = 3(3x + -4)

Reorder the terms:
-7 + 13x = 3(-4 + 3x)
-7 + 13x = (-4 * 3 + 3x * 3)
-7 + 13x = (-12 + 9x)

Solving
-7 + 13x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + 13x + -9x = -12 + 9x + -9x

Combine like terms: 13x + -9x = 4x
-7 + 4x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + 4x = -12 + 0
-7 + 4x = -12

Add '7' to each side of the equation.
-7 + 7 + 4x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = -12 + 7
4x = -12 + 7

Combine like terms: -12 + 7 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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