2(X+5)=42-3(X+4)

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Solution for 2(X+5)=42-3(X+4) equation: 


Simplifying
2(X + 5) = 42 + -3(X + 4)

Reorder the terms:
2(5 + X) = 42 + -3(X + 4)
(5 * 2 + X * 2) = 42 + -3(X + 4)
(10 + 2X) = 42 + -3(X + 4)

Reorder the terms:
10 + 2X = 42 + -3(4 + X)
10 + 2X = 42 + (4 * -3 + X * -3)
10 + 2X = 42 + (-12 + -3X)

Combine like terms: 42 + -12 = 30
10 + 2X = 30 + -3X

Solving
10 + 2X = 30 + -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.
10 + 2X + 3X = 30 + -3X + 3X

Combine like terms: 2X + 3X = 5X
10 + 5X = 30 + -3X + 3X

Combine like terms: -3X + 3X = 0
10 + 5X = 30 + 0
10 + 5X = 30

Add '-10' to each side of the equation.
10 + -10 + 5X = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 5X = 30 + -10
5X = 30 + -10

Combine like terms: 30 + -10 = 20
5X = 20

Divide each side by '5'.
X = 4

Simplifying
X = 4

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