4x+7=23x-13

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Solution for 4x+7=23x-13 equation:


Simplifying
4x + 7 = 23x + -13

Reorder the terms:
7 + 4x = 23x + -13

Reorder the terms:
7 + 4x = -13 + 23x

Solving
7 + 4x = -13 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
7 + 4x + -23x = -13 + 23x + -23x

Combine like terms: 4x + -23x = -19x
7 + -19x = -13 + 23x + -23x

Combine like terms: 23x + -23x = 0
7 + -19x = -13 + 0
7 + -19x = -13

Add '-7' to each side of the equation.
7 + -7 + -19x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -19x = -13 + -7
-19x = -13 + -7

Combine like terms: -13 + -7 = -20
-19x = -20

Divide each side by '-19'.
x = 1.052631579

Simplifying
x = 1.052631579

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