5(x-6)-7(x+2)=-4(x+8)

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Solution for 5(x-6)-7(x+2)=-4(x+8) equation:


Simplifying
5(x + -6) + -7(x + 2) = -4(x + 8)

Reorder the terms:
5(-6 + x) + -7(x + 2) = -4(x + 8)
(-6 * 5 + x * 5) + -7(x + 2) = -4(x + 8)
(-30 + 5x) + -7(x + 2) = -4(x + 8)

Reorder the terms:
-30 + 5x + -7(2 + x) = -4(x + 8)
-30 + 5x + (2 * -7 + x * -7) = -4(x + 8)
-30 + 5x + (-14 + -7x) = -4(x + 8)

Reorder the terms:
-30 + -14 + 5x + -7x = -4(x + 8)

Combine like terms: -30 + -14 = -44
-44 + 5x + -7x = -4(x + 8)

Combine like terms: 5x + -7x = -2x
-44 + -2x = -4(x + 8)

Reorder the terms:
-44 + -2x = -4(8 + x)
-44 + -2x = (8 * -4 + x * -4)
-44 + -2x = (-32 + -4x)

Solving
-44 + -2x = -32 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-44 + -2x + 4x = -32 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-44 + 2x = -32 + -4x + 4x

Combine like terms: -4x + 4x = 0
-44 + 2x = -32 + 0
-44 + 2x = -32

Add '44' to each side of the equation.
-44 + 44 + 2x = -32 + 44

Combine like terms: -44 + 44 = 0
0 + 2x = -32 + 44
2x = -32 + 44

Combine like terms: -32 + 44 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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