7x-13=3x-23

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Solution for 7x-13=3x-23 equation:


Simplifying
7x + -13 = 3x + -23

Reorder the terms:
-13 + 7x = 3x + -23

Reorder the terms:
-13 + 7x = -23 + 3x

Solving
-13 + 7x = -23 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-13 + 7x + -3x = -23 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-13 + 4x = -23 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 4x = -23 + 0
-13 + 4x = -23

Add '13' to each side of the equation.
-13 + 13 + 4x = -23 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = -23 + 13
4x = -23 + 13

Combine like terms: -23 + 13 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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