x+4=5x-7

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


Simplifying
x + 4 = 5x + -7

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

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

Solving
4 + x = -7 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -7 + -4 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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