3x+7=5x-3

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


Simplifying
3x + 7 = 5x + -3

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

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

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

Combine like terms: 3x + -5x = -2x
7 + -2x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -2x = -3 + 0
7 + -2x = -3

Add '-7' to each side of the equation.
7 + -7 + -2x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -3 + -7
-2x = -3 + -7

Combine like terms: -3 + -7 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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