4x+7=7x-23

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


Simplifying
4x + 7 = 7x + -23

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

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

Solving
7 + 4x = -23 + 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.
7 + 4x + -7x = -23 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
7 + -3x = -23 + 0
7 + -3x = -23

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

Combine like terms: 7 + -7 = 0
0 + -3x = -23 + -7
-3x = -23 + -7

Combine like terms: -23 + -7 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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