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

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


Simplifying
2 + 3x + 2(4 + 2x) + -1(2 + 3x) = 1x + 2(3 + 5x) + -2
2 + 3x + (4 * 2 + 2x * 2) + -1(2 + 3x) = 1x + 2(3 + 5x) + -2
2 + 3x + (8 + 4x) + -1(2 + 3x) = 1x + 2(3 + 5x) + -2
2 + 3x + 8 + 4x + (2 * -1 + 3x * -1) = 1x + 2(3 + 5x) + -2
2 + 3x + 8 + 4x + (-2 + -3x) = 1x + 2(3 + 5x) + -2

Reorder the terms:
2 + 8 + -2 + 3x + 4x + -3x = 1x + 2(3 + 5x) + -2

Combine like terms: 2 + 8 = 10
10 + -2 + 3x + 4x + -3x = 1x + 2(3 + 5x) + -2

Combine like terms: 10 + -2 = 8
8 + 3x + 4x + -3x = 1x + 2(3 + 5x) + -2

Combine like terms: 3x + 4x = 7x
8 + 7x + -3x = 1x + 2(3 + 5x) + -2

Combine like terms: 7x + -3x = 4x
8 + 4x = 1x + 2(3 + 5x) + -2
8 + 4x = 1x + (3 * 2 + 5x * 2) + -2
8 + 4x = 1x + (6 + 10x) + -2

Reorder the terms:
8 + 4x = 6 + -2 + 1x + 10x

Combine like terms: 6 + -2 = 4
8 + 4x = 4 + 1x + 10x

Combine like terms: 1x + 10x = 11x
8 + 4x = 4 + 11x

Solving
8 + 4x = 4 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
8 + 4x + -11x = 4 + 11x + -11x

Combine like terms: 4x + -11x = -7x
8 + -7x = 4 + 11x + -11x

Combine like terms: 11x + -11x = 0
8 + -7x = 4 + 0
8 + -7x = 4

Add '-8' to each side of the equation.
8 + -8 + -7x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 4 + -8
-7x = 4 + -8

Combine like terms: 4 + -8 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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