6(x-3)=-4(x+4)+32

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Solution for 6(x-3)=-4(x+4)+32 equation: 


Simplifying
6(x + -3) = -4(x + 4) + 32

Reorder the terms:
6(-3 + x) = -4(x + 4) + 32
(-3 * 6 + x * 6) = -4(x + 4) + 32
(-18 + 6x) = -4(x + 4) + 32

Reorder the terms:
-18 + 6x = -4(4 + x) + 32
-18 + 6x = (4 * -4 + x * -4) + 32
-18 + 6x = (-16 + -4x) + 32

Reorder the terms:
-18 + 6x = -16 + 32 + -4x

Combine like terms: -16 + 32 = 16
-18 + 6x = 16 + -4x

Solving
-18 + 6x = 16 + -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.
-18 + 6x + 4x = 16 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-18 + 10x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 10x = 16 + 0
-18 + 10x = 16

Add '18' to each side of the equation.
-18 + 18 + 10x = 16 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 16 + 18
10x = 16 + 18

Combine like terms: 16 + 18 = 34
10x = 34

Divide each side by '10'.
x = 3.4

Simplifying
x = 3.4

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