2x+48=10x-30

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Solution for 2x+48=10x-30 equation:


Simplifying
2x + 48 = 10x + -30

Reorder the terms:
48 + 2x = 10x + -30

Reorder the terms:
48 + 2x = -30 + 10x

Solving
48 + 2x = -30 + 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.
48 + 2x + -10x = -30 + 10x + -10x

Combine like terms: 2x + -10x = -8x
48 + -8x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
48 + -8x = -30 + 0
48 + -8x = -30

Add '-48' to each side of the equation.
48 + -48 + -8x = -30 + -48

Combine like terms: 48 + -48 = 0
0 + -8x = -30 + -48
-8x = -30 + -48

Combine like terms: -30 + -48 = -78
-8x = -78

Divide each side by '-8'.
x = 9.75

Simplifying
x = 9.75

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