5x-15=7x-21

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Solution for 5x-15=7x-21 equation:


Simplifying
5x + -15 = 7x + -21

Reorder the terms:
-15 + 5x = 7x + -21

Reorder the terms:
-15 + 5x = -21 + 7x

Solving
-15 + 5x = -21 + 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.
-15 + 5x + -7x = -21 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-15 + -2x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -2x = -21 + 0
-15 + -2x = -21

Add '15' to each side of the equation.
-15 + 15 + -2x = -21 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -21 + 15
-2x = -21 + 15

Combine like terms: -21 + 15 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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