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

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


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

Reorder the terms:
3(3 + 2x) + -1(-1x + -2) = 4(2x + 5) + -1(x + -1) + -5x
(3 * 3 + 2x * 3) + -1(-1x + -2) = 4(2x + 5) + -1(x + -1) + -5x
(9 + 6x) + -1(-1x + -2) = 4(2x + 5) + -1(x + -1) + -5x

Reorder the terms:
9 + 6x + -1(-2 + -1x) = 4(2x + 5) + -1(x + -1) + -5x
9 + 6x + (-2 * -1 + -1x * -1) = 4(2x + 5) + -1(x + -1) + -5x
9 + 6x + (2 + 1x) = 4(2x + 5) + -1(x + -1) + -5x

Reorder the terms:
9 + 2 + 6x + 1x = 4(2x + 5) + -1(x + -1) + -5x

Combine like terms: 9 + 2 = 11
11 + 6x + 1x = 4(2x + 5) + -1(x + -1) + -5x

Combine like terms: 6x + 1x = 7x
11 + 7x = 4(2x + 5) + -1(x + -1) + -5x

Reorder the terms:
11 + 7x = 4(5 + 2x) + -1(x + -1) + -5x
11 + 7x = (5 * 4 + 2x * 4) + -1(x + -1) + -5x
11 + 7x = (20 + 8x) + -1(x + -1) + -5x

Reorder the terms:
11 + 7x = 20 + 8x + -1(-1 + x) + -5x
11 + 7x = 20 + 8x + (-1 * -1 + x * -1) + -5x
11 + 7x = 20 + 8x + (1 + -1x) + -5x

Reorder the terms:
11 + 7x = 20 + 1 + 8x + -1x + -5x

Combine like terms: 20 + 1 = 21
11 + 7x = 21 + 8x + -1x + -5x

Combine like terms: 8x + -1x = 7x
11 + 7x = 21 + 7x + -5x

Combine like terms: 7x + -5x = 2x
11 + 7x = 21 + 2x

Solving
11 + 7x = 21 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + 7x + -2x = 21 + 2x + -2x

Combine like terms: 7x + -2x = 5x
11 + 5x = 21 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 5x = 21 + 0
11 + 5x = 21

Add '-11' to each side of the equation.
11 + -11 + 5x = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 21 + -11
5x = 21 + -11

Combine like terms: 21 + -11 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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