x+(x+5)+3x+(3x-3)=114

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Solution for x+(x+5)+3x+(3x-3)=114 equation:


Simplifying
x + (x + 5) + 3x + (3x + -3) = 114

Reorder the terms:
x + (5 + x) + 3x + (3x + -3) = 114

Remove parenthesis around (5 + x)
x + 5 + x + 3x + (3x + -3) = 114

Reorder the terms:
x + 5 + x + 3x + (-3 + 3x) = 114

Remove parenthesis around (-3 + 3x)
x + 5 + x + 3x + -3 + 3x = 114

Reorder the terms:
5 + -3 + x + x + 3x + 3x = 114

Combine like terms: 5 + -3 = 2
2 + x + x + 3x + 3x = 114

Combine like terms: x + x = 2x
2 + 2x + 3x + 3x = 114

Combine like terms: 2x + 3x = 5x
2 + 5x + 3x = 114

Combine like terms: 5x + 3x = 8x
2 + 8x = 114

Solving
2 + 8x = 114

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = 114 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 114 + -2
8x = 114 + -2

Combine like terms: 114 + -2 = 112
8x = 112

Divide each side by '8'.
x = 14

Simplifying
x = 14

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