-7(x+3)-2x=8(x-4)

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Solution for -7(x+3)-2x=8(x-4) equation:


Simplifying
-7(x + 3) + -2x = 8(x + -4)

Reorder the terms:
-7(3 + x) + -2x = 8(x + -4)
(3 * -7 + x * -7) + -2x = 8(x + -4)
(-21 + -7x) + -2x = 8(x + -4)

Combine like terms: -7x + -2x = -9x
-21 + -9x = 8(x + -4)

Reorder the terms:
-21 + -9x = 8(-4 + x)
-21 + -9x = (-4 * 8 + x * 8)
-21 + -9x = (-32 + 8x)

Solving
-21 + -9x = -32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-21 + -9x + -8x = -32 + 8x + -8x

Combine like terms: -9x + -8x = -17x
-21 + -17x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
-21 + -17x = -32 + 0
-21 + -17x = -32

Add '21' to each side of the equation.
-21 + 21 + -17x = -32 + 21

Combine like terms: -21 + 21 = 0
0 + -17x = -32 + 21
-17x = -32 + 21

Combine like terms: -32 + 21 = -11
-17x = -11

Divide each side by '-17'.
x = 0.6470588235

Simplifying
x = 0.6470588235

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