X+(x+2)+4(x+2)=52

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Solution for X+(x+2)+4(x+2)=52 equation:


Simplifying
X + (x + 2) + 4(x + 2) = 52

Reorder the terms:
X + (2 + x) + 4(x + 2) = 52

Remove parenthesis around (2 + x)
X + 2 + x + 4(x + 2) = 52

Reorder the terms:
X + 2 + x + 4(2 + x) = 52
X + 2 + x + (2 * 4 + x * 4) = 52
X + 2 + x + (8 + 4x) = 52

Reorder the terms:
2 + 8 + X + x + 4x = 52

Combine like terms: 2 + 8 = 10
10 + X + x + 4x = 52

Combine like terms: x + 4x = 5x
10 + X + 5x = 52

Solving
10 + X + 5x = 52

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + X + -10 + 5x = 52 + -10

Reorder the terms:
10 + -10 + X + 5x = 52 + -10

Combine like terms: 10 + -10 = 0
0 + X + 5x = 52 + -10
X + 5x = 52 + -10

Combine like terms: 52 + -10 = 42
X + 5x = 42

Add '-5x' to each side of the equation.
X + 5x + -5x = 42 + -5x

Combine like terms: 5x + -5x = 0
X + 0 = 42 + -5x
X = 42 + -5x

Simplifying
X = 42 + -5x

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