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

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


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

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

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

Combine like terms: 6 + -6 = 0
-10 + 5x = 0 + -3x
-10 + 5x = -3x

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

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

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

Add '10' to each side of the equation.
-10 + 10 + 8x = 0 + 10

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

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

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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