2(x+1)=6(5)-3(x+2)

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Solution for 2(x+1)=6(5)-3(x+2) equation: 


Simplifying
2(x + 1) = 6(5) + -3(x + 2)

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

Multiply 6 * 5
2 + 2x = 30 + -3(x + 2)

Reorder the terms:
2 + 2x = 30 + -3(2 + x)
2 + 2x = 30 + (2 * -3 + x * -3)
2 + 2x = 30 + (-6 + -3x)

Combine like terms: 30 + -6 = 24
2 + 2x = 24 + -3x

Solving
2 + 2x = 24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + 2x + 3x = 24 + -3x + 3x

Combine like terms: 2x + 3x = 5x
2 + 5x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 5x = 24 + 0
2 + 5x = 24

Add '-2' to each side of the equation.
2 + -2 + 5x = 24 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 24 + -2
5x = 24 + -2

Combine like terms: 24 + -2 = 22
5x = 22

Divide each side by '5'.
x = 4.4

Simplifying
x = 4.4

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