3x+4+10x-17=14-23x+16-7x

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Solution for 3x+4+10x-17=14-23x+16-7x equation:


Simplifying
3x + 4 + 10x + -17 = 14 + -23x + 16 + -7x

Reorder the terms:
4 + -17 + 3x + 10x = 14 + -23x + 16 + -7x

Combine like terms: 4 + -17 = -13
-13 + 3x + 10x = 14 + -23x + 16 + -7x

Combine like terms: 3x + 10x = 13x
-13 + 13x = 14 + -23x + 16 + -7x

Reorder the terms:
-13 + 13x = 14 + 16 + -23x + -7x

Combine like terms: 14 + 16 = 30
-13 + 13x = 30 + -23x + -7x

Combine like terms: -23x + -7x = -30x
-13 + 13x = 30 + -30x

Solving
-13 + 13x = 30 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
-13 + 13x + 30x = 30 + -30x + 30x

Combine like terms: 13x + 30x = 43x
-13 + 43x = 30 + -30x + 30x

Combine like terms: -30x + 30x = 0
-13 + 43x = 30 + 0
-13 + 43x = 30

Add '13' to each side of the equation.
-13 + 13 + 43x = 30 + 13

Combine like terms: -13 + 13 = 0
0 + 43x = 30 + 13
43x = 30 + 13

Combine like terms: 30 + 13 = 43
43x = 43

Divide each side by '43'.
x = 1

Simplifying
x = 1

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