3-7(-1-2x)=5-(x-6)

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Solution for 3-7(-1-2x)=5-(x-6) equation:


Simplifying
3 + -7(-1 + -2x) = 5 + -1(x + -6)
3 + (-1 * -7 + -2x * -7) = 5 + -1(x + -6)
3 + (7 + 14x) = 5 + -1(x + -6)

Combine like terms: 3 + 7 = 10
10 + 14x = 5 + -1(x + -6)

Reorder the terms:
10 + 14x = 5 + -1(-6 + x)
10 + 14x = 5 + (-6 * -1 + x * -1)
10 + 14x = 5 + (6 + -1x)

Combine like terms: 5 + 6 = 11
10 + 14x = 11 + -1x

Solving
10 + 14x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + 14x + x = 11 + -1x + x

Combine like terms: 14x + x = 15x
10 + 15x = 11 + -1x + x

Combine like terms: -1x + x = 0
10 + 15x = 11 + 0
10 + 15x = 11

Add '-10' to each side of the equation.
10 + -10 + 15x = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 15x = 11 + -10
15x = 11 + -10

Combine like terms: 11 + -10 = 1
15x = 1

Divide each side by '15'.
x = 0.06666666667

Simplifying
x = 0.06666666667

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