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

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


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

Reorder the terms:
6 + 5(-6 + x) = 6 + -5(x + -3)
6 + (-6 * 5 + x * 5) = 6 + -5(x + -3)
6 + (-30 + 5x) = 6 + -5(x + -3)

Combine like terms: 6 + -30 = -24
-24 + 5x = 6 + -5(x + -3)

Reorder the terms:
-24 + 5x = 6 + -5(-3 + x)
-24 + 5x = 6 + (-3 * -5 + x * -5)
-24 + 5x = 6 + (15 + -5x)

Combine like terms: 6 + 15 = 21
-24 + 5x = 21 + -5x

Solving
-24 + 5x = 21 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-24 + 5x + 5x = 21 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-24 + 10x = 21 + -5x + 5x

Combine like terms: -5x + 5x = 0
-24 + 10x = 21 + 0
-24 + 10x = 21

Add '24' to each side of the equation.
-24 + 24 + 10x = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 21 + 24
10x = 21 + 24

Combine like terms: 21 + 24 = 45
10x = 45

Divide each side by '10'.
x = 4.5

Simplifying
x = 4.5

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