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

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


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

Reorder the terms:
4(3 + x) + -3x = 3(x + 4) + -2
(3 * 4 + x * 4) + -3x = 3(x + 4) + -2
(12 + 4x) + -3x = 3(x + 4) + -2

Combine like terms: 4x + -3x = 1x
12 + 1x = 3(x + 4) + -2

Reorder the terms:
12 + 1x = 3(4 + x) + -2
12 + 1x = (4 * 3 + x * 3) + -2
12 + 1x = (12 + 3x) + -2

Reorder the terms:
12 + 1x = 12 + -2 + 3x

Combine like terms: 12 + -2 = 10
12 + 1x = 10 + 3x

Solving
12 + 1x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 1x + -3x = 10 + 3x + -3x

Combine like terms: 1x + -3x = -2x
12 + -2x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -2x = 10 + 0
12 + -2x = 10

Add '-12' to each side of the equation.
12 + -12 + -2x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 10 + -12
-2x = 10 + -12

Combine like terms: 10 + -12 = -2
-2x = -2

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

Simplifying
x = 1

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