3x-3+7=2(x+3)-4

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Solution for 3x-3+7=2(x+3)-4 equation:


Simplifying
3x + -3 + 7 = 2(x + 3) + -4

Reorder the terms:
-3 + 7 + 3x = 2(x + 3) + -4

Combine like terms: -3 + 7 = 4
4 + 3x = 2(x + 3) + -4

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

Reorder the terms:
4 + 3x = 6 + -4 + 2x

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

Solving
4 + 3x = 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.
4 + 3x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + 1x = 2 + 0
4 + 1x = 2

Add '-4' to each side of the equation.
4 + -4 + 1x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 2 + -4
1x = 2 + -4

Combine like terms: 2 + -4 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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