5+6x-23=5(2x+8)-10

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Solution for 5+6x-23=5(2x+8)-10 equation:


Simplifying
5 + 6x + -23 = 5(2x + 8) + -10

Reorder the terms:
5 + -23 + 6x = 5(2x + 8) + -10

Combine like terms: 5 + -23 = -18
-18 + 6x = 5(2x + 8) + -10

Reorder the terms:
-18 + 6x = 5(8 + 2x) + -10
-18 + 6x = (8 * 5 + 2x * 5) + -10
-18 + 6x = (40 + 10x) + -10

Reorder the terms:
-18 + 6x = 40 + -10 + 10x

Combine like terms: 40 + -10 = 30
-18 + 6x = 30 + 10x

Solving
-18 + 6x = 30 + 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.
-18 + 6x + -10x = 30 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-18 + -4x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-18 + -4x = 30 + 0
-18 + -4x = 30

Add '18' to each side of the equation.
-18 + 18 + -4x = 30 + 18

Combine like terms: -18 + 18 = 0
0 + -4x = 30 + 18
-4x = 30 + 18

Combine like terms: 30 + 18 = 48
-4x = 48

Divide each side by '-4'.
x = -12

Simplifying
x = -12

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