(2x+1)+(4-3x)=10

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Solution for (2x+1)+(4-3x)=10 equation:


Simplifying
(2x + 1) + (4 + -3x) = 10

Reorder the terms:
(1 + 2x) + (4 + -3x) = 10

Remove parenthesis around (1 + 2x)
1 + 2x + (4 + -3x) = 10

Remove parenthesis around (4 + -3x)
1 + 2x + 4 + -3x = 10

Reorder the terms:
1 + 4 + 2x + -3x = 10

Combine like terms: 1 + 4 = 5
5 + 2x + -3x = 10

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

Solving
5 + -1x = 10

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 10 + -5
-1x = 10 + -5

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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