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

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


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

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

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

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

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

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

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

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

Solving
6 + 4x = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 10 + -6
4x = 10 + -6

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

Divide each side by '4'.
x = 1

Simplifying
x = 1

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