9x-4(x+8)=3(2x-7)

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Solution for 9x-4(x+8)=3(2x-7) equation:


Simplifying
9x + -4(x + 8) = 3(2x + -7)

Reorder the terms:
9x + -4(8 + x) = 3(2x + -7)
9x + (8 * -4 + x * -4) = 3(2x + -7)
9x + (-32 + -4x) = 3(2x + -7)

Reorder the terms:
-32 + 9x + -4x = 3(2x + -7)

Combine like terms: 9x + -4x = 5x
-32 + 5x = 3(2x + -7)

Reorder the terms:
-32 + 5x = 3(-7 + 2x)
-32 + 5x = (-7 * 3 + 2x * 3)
-32 + 5x = (-21 + 6x)

Solving
-32 + 5x = -21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-32 + 5x + -6x = -21 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-32 + -1x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-32 + -1x = -21 + 0
-32 + -1x = -21

Add '32' to each side of the equation.
-32 + 32 + -1x = -21 + 32

Combine like terms: -32 + 32 = 0
0 + -1x = -21 + 32
-1x = -21 + 32

Combine like terms: -21 + 32 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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