x+3=5x-7

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Solution for x+3=5x-7 equation:


Simplifying
x + 3 = 5x + -7

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

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

Solving
3 + 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.
3 + x + -5x = -7 + 5x + -5x

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

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

Add '-3' to each side of the equation.
3 + -3 + -4x = -7 + -3

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

Combine like terms: -7 + -3 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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