9x-(5+2x)+(2+3x)+4=13x+10

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Solution for 9x-(5+2x)+(2+3x)+4=13x+10 equation:


Simplifying
9x + -1(5 + 2x) + (2 + 3x) + 4 = 13x + 10
9x + (5 * -1 + 2x * -1) + (2 + 3x) + 4 = 13x + 10
9x + (-5 + -2x) + (2 + 3x) + 4 = 13x + 10

Remove parenthesis around (2 + 3x)
9x + -5 + -2x + 2 + 3x + 4 = 13x + 10

Reorder the terms:
-5 + 2 + 4 + 9x + -2x + 3x = 13x + 10

Combine like terms: -5 + 2 = -3
-3 + 4 + 9x + -2x + 3x = 13x + 10

Combine like terms: -3 + 4 = 1
1 + 9x + -2x + 3x = 13x + 10

Combine like terms: 9x + -2x = 7x
1 + 7x + 3x = 13x + 10

Combine like terms: 7x + 3x = 10x
1 + 10x = 13x + 10

Reorder the terms:
1 + 10x = 10 + 13x

Solving
1 + 10x = 10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
1 + 10x + -13x = 10 + 13x + -13x

Combine like terms: 10x + -13x = -3x
1 + -3x = 10 + 13x + -13x

Combine like terms: 13x + -13x = 0
1 + -3x = 10 + 0
1 + -3x = 10

Add '-1' to each side of the equation.
1 + -1 + -3x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 10 + -1
-3x = 10 + -1

Combine like terms: 10 + -1 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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