3x+45=5x-13

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Solution for 3x+45=5x-13 equation:


Simplifying
3x + 45 = 5x + -13

Reorder the terms:
45 + 3x = 5x + -13

Reorder the terms:
45 + 3x = -13 + 5x

Solving
45 + 3x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
45 + 3x + -5x = -13 + 5x + -5x

Combine like terms: 3x + -5x = -2x
45 + -2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
45 + -2x = -13 + 0
45 + -2x = -13

Add '-45' to each side of the equation.
45 + -45 + -2x = -13 + -45

Combine like terms: 45 + -45 = 0
0 + -2x = -13 + -45
-2x = -13 + -45

Combine like terms: -13 + -45 = -58
-2x = -58

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

Simplifying
x = 29

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