6(3+x)=8(x-20)

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Solution for 6(3+x)=8(x-20) equation:


Simplifying
6(3 + x) = 8(x + -20)
(3 * 6 + x * 6) = 8(x + -20)
(18 + 6x) = 8(x + -20)

Reorder the terms:
18 + 6x = 8(-20 + x)
18 + 6x = (-20 * 8 + x * 8)
18 + 6x = (-160 + 8x)

Solving
18 + 6x = -160 + 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.
18 + 6x + -8x = -160 + 8x + -8x

Combine like terms: 6x + -8x = -2x
18 + -2x = -160 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -2x = -160 + 0
18 + -2x = -160

Add '-18' to each side of the equation.
18 + -18 + -2x = -160 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = -160 + -18
-2x = -160 + -18

Combine like terms: -160 + -18 = -178
-2x = -178

Divide each side by '-2'.
x = 89

Simplifying
x = 89

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