2(x+1)=3(2x+1)-7(x-2)

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Solution for 2(x+1)=3(2x+1)-7(x-2) equation:


Simplifying
2(x + 1) = 3(2x + 1) + -7(x + -2)

Reorder the terms:
2(1 + x) = 3(2x + 1) + -7(x + -2)
(1 * 2 + x * 2) = 3(2x + 1) + -7(x + -2)
(2 + 2x) = 3(2x + 1) + -7(x + -2)

Reorder the terms:
2 + 2x = 3(1 + 2x) + -7(x + -2)
2 + 2x = (1 * 3 + 2x * 3) + -7(x + -2)
2 + 2x = (3 + 6x) + -7(x + -2)

Reorder the terms:
2 + 2x = 3 + 6x + -7(-2 + x)
2 + 2x = 3 + 6x + (-2 * -7 + x * -7)
2 + 2x = 3 + 6x + (14 + -7x)

Reorder the terms:
2 + 2x = 3 + 14 + 6x + -7x

Combine like terms: 3 + 14 = 17
2 + 2x = 17 + 6x + -7x

Combine like terms: 6x + -7x = -1x
2 + 2x = 17 + -1x

Solving
2 + 2x = 17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 2x + x = 17 + -1x + x

Combine like terms: 2x + x = 3x
2 + 3x = 17 + -1x + x

Combine like terms: -1x + x = 0
2 + 3x = 17 + 0
2 + 3x = 17

Add '-2' to each side of the equation.
2 + -2 + 3x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 17 + -2
3x = 17 + -2

Combine like terms: 17 + -2 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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