(2x+5)-(x-4)=10

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


Simplifying
(2x + 5) + -1(x + -4) = 10

Reorder the terms:
(5 + 2x) + -1(x + -4) = 10

Remove parenthesis around (5 + 2x)
5 + 2x + -1(x + -4) = 10

Reorder the terms:
5 + 2x + -1(-4 + x) = 10
5 + 2x + (-4 * -1 + x * -1) = 10
5 + 2x + (4 + -1x) = 10

Reorder the terms:
5 + 4 + 2x + -1x = 10

Combine like terms: 5 + 4 = 9
9 + 2x + -1x = 10

Combine like terms: 2x + -1x = 1x
9 + 1x = 10

Solving
9 + 1x = 10

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 1x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 10 + -9
1x = 10 + -9

Combine like terms: 10 + -9 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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