3x+24=48+10x-30

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Solution for 3x+24=48+10x-30 equation:


Simplifying
3x + 24 = 48 + 10x + -30

Reorder the terms:
24 + 3x = 48 + 10x + -30

Reorder the terms:
24 + 3x = 48 + -30 + 10x

Combine like terms: 48 + -30 = 18
24 + 3x = 18 + 10x

Solving
24 + 3x = 18 + 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.
24 + 3x + -10x = 18 + 10x + -10x

Combine like terms: 3x + -10x = -7x
24 + -7x = 18 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + -7x = 18 + 0
24 + -7x = 18

Add '-24' to each side of the equation.
24 + -24 + -7x = 18 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = 18 + -24
-7x = 18 + -24

Combine like terms: 18 + -24 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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