3+(1+6x)=10-(x-4)+25x

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Solution for 3+(1+6x)=10-(x-4)+25x equation:


Simplifying
3 + (1 + 6x) = 10 + -1(x + -4) + 25x

Remove parenthesis around (1 + 6x)
3 + 1 + 6x = 10 + -1(x + -4) + 25x

Combine like terms: 3 + 1 = 4
4 + 6x = 10 + -1(x + -4) + 25x

Reorder the terms:
4 + 6x = 10 + -1(-4 + x) + 25x
4 + 6x = 10 + (-4 * -1 + x * -1) + 25x
4 + 6x = 10 + (4 + -1x) + 25x

Combine like terms: 10 + 4 = 14
4 + 6x = 14 + -1x + 25x

Combine like terms: -1x + 25x = 24x
4 + 6x = 14 + 24x

Solving
4 + 6x = 14 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
4 + 6x + -24x = 14 + 24x + -24x

Combine like terms: 6x + -24x = -18x
4 + -18x = 14 + 24x + -24x

Combine like terms: 24x + -24x = 0
4 + -18x = 14 + 0
4 + -18x = 14

Add '-4' to each side of the equation.
4 + -4 + -18x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + -18x = 14 + -4
-18x = 14 + -4

Combine like terms: 14 + -4 = 10
-18x = 10

Divide each side by '-18'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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