5x+48=7x-10

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Solution for 5x+48=7x-10 equation:


Simplifying
5x + 48 = 7x + -10

Reorder the terms:
48 + 5x = 7x + -10

Reorder the terms:
48 + 5x = -10 + 7x

Solving
48 + 5x = -10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
48 + 5x + -7x = -10 + 7x + -7x

Combine like terms: 5x + -7x = -2x
48 + -2x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
48 + -2x = -10 + 0
48 + -2x = -10

Add '-48' to each side of the equation.
48 + -48 + -2x = -10 + -48

Combine like terms: 48 + -48 = 0
0 + -2x = -10 + -48
-2x = -10 + -48

Combine like terms: -10 + -48 = -58
-2x = -58

Divide each side by '-2'.
x = 29

Simplifying
x = 29

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