x+5=4x-7

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Solution for x+5=4x-7 equation:


Simplifying
x + 5 = 4x + -7

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

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

Solving
5 + x = -7 + 4x

Solving for variable 'x'.

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

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

Combine like terms: x + -4x = -3x
5 + -3x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -3x = -7 + 0
5 + -3x = -7

Add '-5' to each side of the equation.
5 + -5 + -3x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -7 + -5
-3x = -7 + -5

Combine like terms: -7 + -5 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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