3(x+4)-2(x-1)=7

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Solution for 3(x+4)-2(x-1)=7 equation: 


Simplifying
3(x + 4) + -2(x + -1) = 7

Reorder the terms:
3(4 + x) + -2(x + -1) = 7
(4 * 3 + x * 3) + -2(x + -1) = 7
(12 + 3x) + -2(x + -1) = 7

Reorder the terms:
12 + 3x + -2(-1 + x) = 7
12 + 3x + (-1 * -2 + x * -2) = 7
12 + 3x + (2 + -2x) = 7

Reorder the terms:
12 + 2 + 3x + -2x = 7

Combine like terms: 12 + 2 = 14
14 + 3x + -2x = 7

Combine like terms: 3x + -2x = 1x
14 + 1x = 7

Solving
14 + 1x = 7

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 1x = 7 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 7 + -14
1x = 7 + -14

Combine like terms: 7 + -14 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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