35=x+(2x-1)+(14(2x-1)+2)

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Solution for 35=x+(2x-1)+(14(2x-1)+2) equation:


Simplifying
35 = x + (2x + -1) + (14(2x + -1) + 2)

Reorder the terms:
35 = x + (-1 + 2x) + (14(2x + -1) + 2)

Remove parenthesis around (-1 + 2x)
35 = x + -1 + 2x + (14(2x + -1) + 2)

Reorder the terms:
35 = x + -1 + 2x + (14(-1 + 2x) + 2)
35 = x + -1 + 2x + ((-1 * 14 + 2x * 14) + 2)
35 = x + -1 + 2x + ((-14 + 28x) + 2)

Reorder the terms:
35 = x + -1 + 2x + (-14 + 2 + 28x)

Combine like terms: -14 + 2 = -12
35 = x + -1 + 2x + (-12 + 28x)

Remove parenthesis around (-12 + 28x)
35 = x + -1 + 2x + -12 + 28x

Reorder the terms:
35 = -1 + -12 + x + 2x + 28x

Combine like terms: -1 + -12 = -13
35 = -13 + x + 2x + 28x

Combine like terms: x + 2x = 3x
35 = -13 + 3x + 28x

Combine like terms: 3x + 28x = 31x
35 = -13 + 31x

Solving
35 = -13 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
35 + -31x = -13 + 31x + -31x

Combine like terms: 31x + -31x = 0
35 + -31x = -13 + 0
35 + -31x = -13

Add '-35' to each side of the equation.
35 + -35 + -31x = -13 + -35

Combine like terms: 35 + -35 = 0
0 + -31x = -13 + -35
-31x = -13 + -35

Combine like terms: -13 + -35 = -48
-31x = -48

Divide each side by '-31'.
x = 1.548387097

Simplifying
x = 1.548387097

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