3x+23=10x-54

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Solution for 3x+23=10x-54 equation:


Simplifying
3x + 23 = 10x + -54

Reorder the terms:
23 + 3x = 10x + -54

Reorder the terms:
23 + 3x = -54 + 10x

Solving
23 + 3x = -54 + 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 = -54 + 10x + -10x

Combine like terms: 3x + -10x = -7x
23 + -7x = -54 + 10x + -10x

Combine like terms: 10x + -10x = 0
23 + -7x = -54 + 0
23 + -7x = -54

Add '-23' to each side of the equation.
23 + -23 + -7x = -54 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = -54 + -23
-7x = -54 + -23

Combine like terms: -54 + -23 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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