(3x+1)-(5x+2)=10

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Solution for (3x+1)-(5x+2)=10 equation:


Simplifying
(3x + 1) + -1(5x + 2) = 10

Reorder the terms:
(1 + 3x) + -1(5x + 2) = 10

Remove parenthesis around (1 + 3x)
1 + 3x + -1(5x + 2) = 10

Reorder the terms:
1 + 3x + -1(2 + 5x) = 10
1 + 3x + (2 * -1 + 5x * -1) = 10
1 + 3x + (-2 + -5x) = 10

Reorder the terms:
1 + -2 + 3x + -5x = 10

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

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

Solving
-1 + -2x = 10

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 10 + 1
-2x = 10 + 1

Combine like terms: 10 + 1 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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