7x-9(x-4)=-3(x+4)-2

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Solution for 7x-9(x-4)=-3(x+4)-2 equation:


Simplifying
7x + -9(x + -4) = -3(x + 4) + -2

Reorder the terms:
7x + -9(-4 + x) = -3(x + 4) + -2
7x + (-4 * -9 + x * -9) = -3(x + 4) + -2
7x + (36 + -9x) = -3(x + 4) + -2

Reorder the terms:
36 + 7x + -9x = -3(x + 4) + -2

Combine like terms: 7x + -9x = -2x
36 + -2x = -3(x + 4) + -2

Reorder the terms:
36 + -2x = -3(4 + x) + -2
36 + -2x = (4 * -3 + x * -3) + -2
36 + -2x = (-12 + -3x) + -2

Reorder the terms:
36 + -2x = -12 + -2 + -3x

Combine like terms: -12 + -2 = -14
36 + -2x = -14 + -3x

Solving
36 + -2x = -14 + -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.
36 + -2x + 3x = -14 + -3x + 3x

Combine like terms: -2x + 3x = 1x
36 + 1x = -14 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + 1x = -14 + 0
36 + 1x = -14

Add '-36' to each side of the equation.
36 + -36 + 1x = -14 + -36

Combine like terms: 36 + -36 = 0
0 + 1x = -14 + -36
1x = -14 + -36

Combine like terms: -14 + -36 = -50
1x = -50

Divide each side by '1'.
x = -50

Simplifying
x = -50

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