(5x+4)+(3x+6)=10x+2

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Solution for (5x+4)+(3x+6)=10x+2 equation:


Simplifying
(5x + 4) + (3x + 6) = 10x + 2

Reorder the terms:
(4 + 5x) + (3x + 6) = 10x + 2

Remove parenthesis around (4 + 5x)
4 + 5x + (3x + 6) = 10x + 2

Reorder the terms:
4 + 5x + (6 + 3x) = 10x + 2

Remove parenthesis around (6 + 3x)
4 + 5x + 6 + 3x = 10x + 2

Reorder the terms:
4 + 6 + 5x + 3x = 10x + 2

Combine like terms: 4 + 6 = 10
10 + 5x + 3x = 10x + 2

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

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

Solving
10 + 8x = 2 + 10x

Solving for variable 'x'.

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

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

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

Combine like terms: 10x + -10x = 0
10 + -2x = 2 + 0
10 + -2x = 2

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

Combine like terms: 10 + -10 = 0
0 + -2x = 2 + -10
-2x = 2 + -10

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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