5(2x-3)=39-6(x+1)

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Solution for 5(2x-3)=39-6(x+1) equation:


Simplifying
5(2x + -3) = 39 + -6(x + 1)

Reorder the terms:
5(-3 + 2x) = 39 + -6(x + 1)
(-3 * 5 + 2x * 5) = 39 + -6(x + 1)
(-15 + 10x) = 39 + -6(x + 1)

Reorder the terms:
-15 + 10x = 39 + -6(1 + x)
-15 + 10x = 39 + (1 * -6 + x * -6)
-15 + 10x = 39 + (-6 + -6x)

Combine like terms: 39 + -6 = 33
-15 + 10x = 33 + -6x

Solving
-15 + 10x = 33 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-15 + 10x + 6x = 33 + -6x + 6x

Combine like terms: 10x + 6x = 16x
-15 + 16x = 33 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 16x = 33 + 0
-15 + 16x = 33

Add '15' to each side of the equation.
-15 + 15 + 16x = 33 + 15

Combine like terms: -15 + 15 = 0
0 + 16x = 33 + 15
16x = 33 + 15

Combine like terms: 33 + 15 = 48
16x = 48

Divide each side by '16'.
x = 3

Simplifying
x = 3

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