3x+23=10x-40

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Solution for 3x+23=10x-40 equation:


Simplifying
3x + 23 = 10x + -40

Reorder the terms:
23 + 3x = 10x + -40

Reorder the terms:
23 + 3x = -40 + 10x

Solving
23 + 3x = -40 + 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.
23 + 3x + -10x = -40 + 10x + -10x

Combine like terms: 3x + -10x = -7x
23 + -7x = -40 + 10x + -10x

Combine like terms: 10x + -10x = 0
23 + -7x = -40 + 0
23 + -7x = -40

Add '-23' to each side of the equation.
23 + -23 + -7x = -40 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = -40 + -23
-7x = -40 + -23

Combine like terms: -40 + -23 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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