6(x-2)=-8(x+4)+40

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Solution for 6(x-2)=-8(x+4)+40 equation:


Simplifying
6(x + -2) = -8(x + 4) + 40

Reorder the terms:
6(-2 + x) = -8(x + 4) + 40
(-2 * 6 + x * 6) = -8(x + 4) + 40
(-12 + 6x) = -8(x + 4) + 40

Reorder the terms:
-12 + 6x = -8(4 + x) + 40
-12 + 6x = (4 * -8 + x * -8) + 40
-12 + 6x = (-32 + -8x) + 40

Reorder the terms:
-12 + 6x = -32 + 40 + -8x

Combine like terms: -32 + 40 = 8
-12 + 6x = 8 + -8x

Solving
-12 + 6x = 8 + -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.
-12 + 6x + 8x = 8 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-12 + 14x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 14x = 8 + 0
-12 + 14x = 8

Add '12' to each side of the equation.
-12 + 12 + 14x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 14x = 8 + 12
14x = 8 + 12

Combine like terms: 8 + 12 = 20
14x = 20

Divide each side by '14'.
x = 1.428571429

Simplifying
x = 1.428571429

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