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

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


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

Reorder the terms:
-5(-2 + x) = 3(x + 2)
(-2 * -5 + x * -5) = 3(x + 2)
(10 + -5x) = 3(x + 2)

Reorder the terms:
10 + -5x = 3(2 + x)
10 + -5x = (2 * 3 + x * 3)
10 + -5x = (6 + 3x)

Solving
10 + -5x = 6 + 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 = 6 + 3x + -3x

Combine like terms: -5x + -3x = -8x
10 + -8x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -8x = 6 + 0
10 + -8x = 6

Add '-10' to each side of the equation.
10 + -10 + -8x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 6 + -10
-8x = 6 + -10

Combine like terms: 6 + -10 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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