(5x-3)+(5x-3)=8x+2

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Solution for (5x-3)+(5x-3)=8x+2 equation:


Simplifying
(5x + -3) + (5x + -3) = 8x + 2

Reorder the terms:
(-3 + 5x) + (5x + -3) = 8x + 2

Remove parenthesis around (-3 + 5x)
-3 + 5x + (5x + -3) = 8x + 2

Reorder the terms:
-3 + 5x + (-3 + 5x) = 8x + 2

Remove parenthesis around (-3 + 5x)
-3 + 5x + -3 + 5x = 8x + 2

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

Combine like terms: -3 + -3 = -6
-6 + 5x + 5x = 8x + 2

Combine like terms: 5x + 5x = 10x
-6 + 10x = 8x + 2

Reorder the terms:
-6 + 10x = 2 + 8x

Solving
-6 + 10x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 10x + -8x = 2 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-6 + 2x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + 2x = 2 + 0
-6 + 2x = 2

Add '6' to each side of the equation.
-6 + 6 + 2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 2 + 6
2x = 2 + 6

Combine like terms: 2 + 6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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