3x+40=10x-23

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


Simplifying
3x + 40 = 10x + -23

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

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

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

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

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

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

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

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

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

Simplifying
x = 9

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