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

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


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

Reorder the terms:
4(2 + x) + -1(x + -3) = -7
(2 * 4 + x * 4) + -1(x + -3) = -7
(8 + 4x) + -1(x + -3) = -7

Reorder the terms:
8 + 4x + -1(-3 + x) = -7
8 + 4x + (-3 * -1 + x * -1) = -7
8 + 4x + (3 + -1x) = -7

Reorder the terms:
8 + 3 + 4x + -1x = -7

Combine like terms: 8 + 3 = 11
11 + 4x + -1x = -7

Combine like terms: 4x + -1x = 3x
11 + 3x = -7

Solving
11 + 3x = -7

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 3x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = -7 + -11
3x = -7 + -11

Combine like terms: -7 + -11 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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