3(x-2)=23+5(2x-3)

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Solution for 3(x-2)=23+5(2x-3) equation:


Simplifying
3(x + -2) = 23 + 5(2x + -3)

Reorder the terms:
3(-2 + x) = 23 + 5(2x + -3)
(-2 * 3 + x * 3) = 23 + 5(2x + -3)
(-6 + 3x) = 23 + 5(2x + -3)

Reorder the terms:
-6 + 3x = 23 + 5(-3 + 2x)
-6 + 3x = 23 + (-3 * 5 + 2x * 5)
-6 + 3x = 23 + (-15 + 10x)

Combine like terms: 23 + -15 = 8
-6 + 3x = 8 + 10x

Solving
-6 + 3x = 8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + 3x + -10x = 8 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-6 + -7x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -7x = 8 + 0
-6 + -7x = 8

Add '6' to each side of the equation.
-6 + 6 + -7x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 8 + 6
-7x = 8 + 6

Combine like terms: 8 + 6 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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