3(x+2)-5(2x-1)-2(3x+4)+10=0

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Solution for 3(x+2)-5(2x-1)-2(3x+4)+10=0 equation:


Simplifying
3(x + 2) + -5(2x + -1) + -2(3x + 4) + 10 = 0

Reorder the terms:
3(2 + x) + -5(2x + -1) + -2(3x + 4) + 10 = 0
(2 * 3 + x * 3) + -5(2x + -1) + -2(3x + 4) + 10 = 0
(6 + 3x) + -5(2x + -1) + -2(3x + 4) + 10 = 0

Reorder the terms:
6 + 3x + -5(-1 + 2x) + -2(3x + 4) + 10 = 0
6 + 3x + (-1 * -5 + 2x * -5) + -2(3x + 4) + 10 = 0
6 + 3x + (5 + -10x) + -2(3x + 4) + 10 = 0

Reorder the terms:
6 + 3x + 5 + -10x + -2(4 + 3x) + 10 = 0
6 + 3x + 5 + -10x + (4 * -2 + 3x * -2) + 10 = 0
6 + 3x + 5 + -10x + (-8 + -6x) + 10 = 0

Reorder the terms:
6 + 5 + -8 + 10 + 3x + -10x + -6x = 0

Combine like terms: 6 + 5 = 11
11 + -8 + 10 + 3x + -10x + -6x = 0

Combine like terms: 11 + -8 = 3
3 + 10 + 3x + -10x + -6x = 0

Combine like terms: 3 + 10 = 13
13 + 3x + -10x + -6x = 0

Combine like terms: 3x + -10x = -7x
13 + -7x + -6x = 0

Combine like terms: -7x + -6x = -13x
13 + -13x = 0

Solving
13 + -13x = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -13x = 0 + -13

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

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

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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