1+6(1-x)=2(2-5x)+x

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


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

Combine like terms: 1 + 6 = 7
7 + -6x = 2(2 + -5x) + x
7 + -6x = (2 * 2 + -5x * 2) + x
7 + -6x = (4 + -10x) + x

Combine like terms: -10x + x = -9x
7 + -6x = 4 + -9x

Solving
7 + -6x = 4 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
7 + -6x + 9x = 4 + -9x + 9x

Combine like terms: -6x + 9x = 3x
7 + 3x = 4 + -9x + 9x

Combine like terms: -9x + 9x = 0
7 + 3x = 4 + 0
7 + 3x = 4

Add '-7' to each side of the equation.
7 + -7 + 3x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 4 + -7
3x = 4 + -7

Combine like terms: 4 + -7 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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