5(2-x)=3(x+6)

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Solution for 5(2-x)=3(x+6) equation:


Simplifying
5(2 + -1x) = 3(x + 6)
(2 * 5 + -1x * 5) = 3(x + 6)
(10 + -5x) = 3(x + 6)

Reorder the terms:
10 + -5x = 3(6 + x)
10 + -5x = (6 * 3 + x * 3)
10 + -5x = (18 + 3x)

Solving
10 + -5x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -5x + -3x = 18 + 3x + -3x

Combine like terms: -5x + -3x = -8x
10 + -8x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -8x = 18 + 0
10 + -8x = 18

Add '-10' to each side of the equation.
10 + -10 + -8x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 18 + -10
-8x = 18 + -10

Combine like terms: 18 + -10 = 8
-8x = 8

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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