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

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


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

Reorder the terms:
-3(-2 + 3x) + 3x = 4(x + 1)
(-2 * -3 + 3x * -3) + 3x = 4(x + 1)
(6 + -9x) + 3x = 4(x + 1)

Combine like terms: -9x + 3x = -6x
6 + -6x = 4(x + 1)

Reorder the terms:
6 + -6x = 4(1 + x)
6 + -6x = (1 * 4 + x * 4)
6 + -6x = (4 + 4x)

Solving
6 + -6x = 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.
6 + -6x + -4x = 4 + 4x + -4x

Combine like terms: -6x + -4x = -10x
6 + -10x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -10x = 4 + 0
6 + -10x = 4

Add '-6' to each side of the equation.
6 + -6 + -10x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = 4 + -6
-10x = 4 + -6

Combine like terms: 4 + -6 = -2
-10x = -2

Divide each side by '-10'.
x = 0.2

Simplifying
x = 0.2

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