2(x+2)+3x=2(x+1)1

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


Simplifying
2(x + 2) + 3x = 2(x + 1) * 1

Reorder the terms:
2(2 + x) + 3x = 2(x + 1) * 1
(2 * 2 + x * 2) + 3x = 2(x + 1) * 1
(4 + 2x) + 3x = 2(x + 1) * 1

Combine like terms: 2x + 3x = 5x
4 + 5x = 2(x + 1) * 1

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

Reorder the terms for easier multiplication:
4 + 5x = 2 * 1(1 + x)

Multiply 2 * 1
4 + 5x = 2(1 + x)
4 + 5x = (1 * 2 + x * 2)
4 + 5x = (2 + 2x)

Solving
4 + 5x = 2 + 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.
4 + 5x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + 3x = 2 + 0
4 + 3x = 2

Add '-4' to each side of the equation.
4 + -4 + 3x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 2 + -4
3x = 2 + -4

Combine like terms: 2 + -4 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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