5x-7=3x+x-10

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Solution for 5x-7=3x+x-10 equation:


Simplifying
5x + -7 = 3x + x + -10

Reorder the terms:
-7 + 5x = 3x + x + -10

Reorder the terms:
-7 + 5x = -10 + 3x + x

Combine like terms: 3x + x = 4x
-7 + 5x = -10 + 4x

Solving
-7 + 5x = -10 + 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.
-7 + 5x + -4x = -10 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-7 + 1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 1x = -10 + 0
-7 + 1x = -10

Add '7' to each side of the equation.
-7 + 7 + 1x = -10 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -10 + 7
1x = -10 + 7

Combine like terms: -10 + 7 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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