5+3(x-1)=3x+14(x+15)

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Solution for 5+3(x-1)=3x+14(x+15) equation:


Simplifying
5 + 3(x + -1) = 3x + 14(x + 15)

Reorder the terms:
5 + 3(-1 + x) = 3x + 14(x + 15)
5 + (-1 * 3 + x * 3) = 3x + 14(x + 15)
5 + (-3 + 3x) = 3x + 14(x + 15)

Combine like terms: 5 + -3 = 2
2 + 3x = 3x + 14(x + 15)

Reorder the terms:
2 + 3x = 3x + 14(15 + x)
2 + 3x = 3x + (15 * 14 + x * 14)
2 + 3x = 3x + (210 + 14x)

Reorder the terms:
2 + 3x = 210 + 3x + 14x

Combine like terms: 3x + 14x = 17x
2 + 3x = 210 + 17x

Solving
2 + 3x = 210 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
2 + 3x + -17x = 210 + 17x + -17x

Combine like terms: 3x + -17x = -14x
2 + -14x = 210 + 17x + -17x

Combine like terms: 17x + -17x = 0
2 + -14x = 210 + 0
2 + -14x = 210

Add '-2' to each side of the equation.
2 + -2 + -14x = 210 + -2

Combine like terms: 2 + -2 = 0
0 + -14x = 210 + -2
-14x = 210 + -2

Combine like terms: 210 + -2 = 208
-14x = 208

Divide each side by '-14'.
x = -14.85714286

Simplifying
x = -14.85714286

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