4x-13=7x-8

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Solution for 4x-13=7x-8 equation:


Simplifying
4x + -13 = 7x + -8

Reorder the terms:
-13 + 4x = 7x + -8

Reorder the terms:
-13 + 4x = -8 + 7x

Solving
-13 + 4x = -8 + 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.
-13 + 4x + -7x = -8 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-13 + -3x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -3x = -8 + 0
-13 + -3x = -8

Add '13' to each side of the equation.
-13 + 13 + -3x = -8 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = -8 + 13
-3x = -8 + 13

Combine like terms: -8 + 13 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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