24x-8-5x+2=22x-9-13x+16

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Solution for 24x-8-5x+2=22x-9-13x+16 equation:


Simplifying
24x + -8 + -5x + 2 = 22x + -9 + -13x + 16

Reorder the terms:
-8 + 2 + 24x + -5x = 22x + -9 + -13x + 16

Combine like terms: -8 + 2 = -6
-6 + 24x + -5x = 22x + -9 + -13x + 16

Combine like terms: 24x + -5x = 19x
-6 + 19x = 22x + -9 + -13x + 16

Reorder the terms:
-6 + 19x = -9 + 16 + 22x + -13x

Combine like terms: -9 + 16 = 7
-6 + 19x = 7 + 22x + -13x

Combine like terms: 22x + -13x = 9x
-6 + 19x = 7 + 9x

Solving
-6 + 19x = 7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-6 + 19x + -9x = 7 + 9x + -9x

Combine like terms: 19x + -9x = 10x
-6 + 10x = 7 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + 10x = 7 + 0
-6 + 10x = 7

Add '6' to each side of the equation.
-6 + 6 + 10x = 7 + 6

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

Combine like terms: 7 + 6 = 13
10x = 13

Divide each side by '10'.
x = 1.3

Simplifying
x = 1.3

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