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

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


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

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

Combine like terms: 3x + -4x = -1x
9 + -1x = 3(2x + 1) + -4x

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

Combine like terms: 6x + -4x = 2x
9 + -1x = 3 + 2x

Solving
9 + -1x = 3 + 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.
9 + -1x + -2x = 3 + 2x + -2x

Combine like terms: -1x + -2x = -3x
9 + -3x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -3x = 3 + 0
9 + -3x = 3

Add '-9' to each side of the equation.
9 + -9 + -3x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 3 + -9
-3x = 3 + -9

Combine like terms: 3 + -9 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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