7-3(x-1)-4(-x+2(x+3))=0

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Solution for 7-3(x-1)-4(-x+2(x+3))=0 equation:


Simplifying
7 + -3(x + -1) + -4(-1x + 2(x + 3)) = 0

Reorder the terms:
7 + -3(-1 + x) + -4(-1x + 2(x + 3)) = 0
7 + (-1 * -3 + x * -3) + -4(-1x + 2(x + 3)) = 0
7 + (3 + -3x) + -4(-1x + 2(x + 3)) = 0

Reorder the terms:
7 + 3 + -3x + -4(-1x + 2(3 + x)) = 0
7 + 3 + -3x + -4(-1x + (3 * 2 + x * 2)) = 0
7 + 3 + -3x + -4(-1x + (6 + 2x)) = 0

Reorder the terms:
7 + 3 + -3x + -4(6 + -1x + 2x) = 0

Combine like terms: -1x + 2x = 1x
7 + 3 + -3x + -4(6 + 1x) = 0
7 + 3 + -3x + (6 * -4 + 1x * -4) = 0
7 + 3 + -3x + (-24 + -4x) = 0

Reorder the terms:
7 + 3 + -24 + -3x + -4x = 0

Combine like terms: 7 + 3 = 10
10 + -24 + -3x + -4x = 0

Combine like terms: 10 + -24 = -14
-14 + -3x + -4x = 0

Combine like terms: -3x + -4x = -7x
-14 + -7x = 0

Solving
-14 + -7x = 0

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 + -7x = 0 + 14

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

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

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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