(2x+5)+(3x-10)=7

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Solution for (2x+5)+(3x-10)=7 equation:


Simplifying
(2x + 5) + (3x + -10) = 7

Reorder the terms:
(5 + 2x) + (3x + -10) = 7

Remove parenthesis around (5 + 2x)
5 + 2x + (3x + -10) = 7

Reorder the terms:
5 + 2x + (-10 + 3x) = 7

Remove parenthesis around (-10 + 3x)
5 + 2x + -10 + 3x = 7

Reorder the terms:
5 + -10 + 2x + 3x = 7

Combine like terms: 5 + -10 = -5
-5 + 2x + 3x = 7

Combine like terms: 2x + 3x = 5x
-5 + 5x = 7

Solving
-5 + 5x = 7

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 + 5x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 7 + 5
5x = 7 + 5

Combine like terms: 7 + 5 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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