5x-8+2x-2=7x-1-3x-3

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Solution for 5x-8+2x-2=7x-1-3x-3 equation:


Simplifying
5x + -8 + 2x + -2 = 7x + -1 + -3x + -3

Reorder the terms:
-8 + -2 + 5x + 2x = 7x + -1 + -3x + -3

Combine like terms: -8 + -2 = -10
-10 + 5x + 2x = 7x + -1 + -3x + -3

Combine like terms: 5x + 2x = 7x
-10 + 7x = 7x + -1 + -3x + -3

Reorder the terms:
-10 + 7x = -1 + -3 + 7x + -3x

Combine like terms: -1 + -3 = -4
-10 + 7x = -4 + 7x + -3x

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

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

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

Combine like terms: 4x + -4x = 0
-10 + 3x = -4 + 0
-10 + 3x = -4

Add '10' to each side of the equation.
-10 + 10 + 3x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -4 + 10
3x = -4 + 10

Combine like terms: -4 + 10 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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