X+(x+30)+3[x+(x+30)]=180

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Solution for X+(x+30)+3[x+(x+30)]=180 equation:


Simplifying
X + (x + 30) + 3[x + (x + 30)] = 180

Reorder the terms:
X + (30 + x) + 3[x + (x + 30)] = 180

Remove parenthesis around (30 + x)
X + 30 + x + 3[x + (x + 30)] = 180

Reorder the terms:
X + 30 + x + 3[x + (30 + x)] = 180

Remove parenthesis around (30 + x)
X + 30 + x + 3[x + 30 + x] = 180

Reorder the terms:
X + 30 + x + 3[30 + x + x] = 180

Combine like terms: x + x = 2x
X + 30 + x + 3[30 + 2x] = 180
X + 30 + x + [30 * 3 + 2x * 3] = 180
X + 30 + x + [90 + 6x] = 180

Reorder the terms:
30 + 90 + X + x + 6x = 180

Combine like terms: 30 + 90 = 120
120 + X + x + 6x = 180

Combine like terms: x + 6x = 7x
120 + X + 7x = 180

Solving
120 + X + 7x = 180

Solving for variable 'X'.

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

Add '-120' to each side of the equation.
120 + X + -120 + 7x = 180 + -120

Reorder the terms:
120 + -120 + X + 7x = 180 + -120

Combine like terms: 120 + -120 = 0
0 + X + 7x = 180 + -120
X + 7x = 180 + -120

Combine like terms: 180 + -120 = 60
X + 7x = 60

Add '-7x' to each side of the equation.
X + 7x + -7x = 60 + -7x

Combine like terms: 7x + -7x = 0
X + 0 = 60 + -7x
X = 60 + -7x

Simplifying
X = 60 + -7x

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