2x+9+3x-8+3x-4+2x+7+3x-10=540

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Solution for 2x+9+3x-8+3x-4+2x+7+3x-10=540 equation:


Simplifying
2x + 9 + 3x + -8 + 3x + -4 + 2x + 7 + 3x + -10 = 540

Reorder the terms:
9 + -8 + -4 + 7 + -10 + 2x + 3x + 3x + 2x + 3x = 540

Combine like terms: 9 + -8 = 1
1 + -4 + 7 + -10 + 2x + 3x + 3x + 2x + 3x = 540

Combine like terms: 1 + -4 = -3
-3 + 7 + -10 + 2x + 3x + 3x + 2x + 3x = 540

Combine like terms: -3 + 7 = 4
4 + -10 + 2x + 3x + 3x + 2x + 3x = 540

Combine like terms: 4 + -10 = -6
-6 + 2x + 3x + 3x + 2x + 3x = 540

Combine like terms: 2x + 3x = 5x
-6 + 5x + 3x + 2x + 3x = 540

Combine like terms: 5x + 3x = 8x
-6 + 8x + 2x + 3x = 540

Combine like terms: 8x + 2x = 10x
-6 + 10x + 3x = 540

Combine like terms: 10x + 3x = 13x
-6 + 13x = 540

Solving
-6 + 13x = 540

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 13x = 540 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 540 + 6
13x = 540 + 6

Combine like terms: 540 + 6 = 546
13x = 546

Divide each side by '13'.
x = 42

Simplifying
x = 42

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