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

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


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

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

Reorder the terms:
6 + 3x + 4(-1 + 2x) = 5(x + -2)
6 + 3x + (-1 * 4 + 2x * 4) = 5(x + -2)
6 + 3x + (-4 + 8x) = 5(x + -2)

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

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

Combine like terms: 3x + 8x = 11x
2 + 11x = 5(x + -2)

Reorder the terms:
2 + 11x = 5(-2 + x)
2 + 11x = (-2 * 5 + x * 5)
2 + 11x = (-10 + 5x)

Solving
2 + 11x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 11x + -5x = -10 + 5x + -5x

Combine like terms: 11x + -5x = 6x
2 + 6x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 6x = -10 + 0
2 + 6x = -10

Add '-2' to each side of the equation.
2 + -2 + 6x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = -10 + -2
6x = -10 + -2

Combine like terms: -10 + -2 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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