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

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


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

Reorder the terms:
3(3 + 3x) + -2 = 4(x + -1)
(3 * 3 + 3x * 3) + -2 = 4(x + -1)
(9 + 9x) + -2 = 4(x + -1)

Reorder the terms:
9 + -2 + 9x = 4(x + -1)

Combine like terms: 9 + -2 = 7
7 + 9x = 4(x + -1)

Reorder the terms:
7 + 9x = 4(-1 + x)
7 + 9x = (-1 * 4 + x * 4)
7 + 9x = (-4 + 4x)

Solving
7 + 9x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 9x + -4x = -4 + 4x + -4x

Combine like terms: 9x + -4x = 5x
7 + 5x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 5x = -4 + 0
7 + 5x = -4

Add '-7' to each side of the equation.
7 + -7 + 5x = -4 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = -4 + -7
5x = -4 + -7

Combine like terms: -4 + -7 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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