2-8(x-3)=2(3-x)-7x

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Solution for 2-8(x-3)=2(3-x)-7x equation:


Simplifying
2 + -8(x + -3) = 2(3 + -1x) + -7x

Reorder the terms:
2 + -8(-3 + x) = 2(3 + -1x) + -7x
2 + (-3 * -8 + x * -8) = 2(3 + -1x) + -7x
2 + (24 + -8x) = 2(3 + -1x) + -7x

Combine like terms: 2 + 24 = 26
26 + -8x = 2(3 + -1x) + -7x
26 + -8x = (3 * 2 + -1x * 2) + -7x
26 + -8x = (6 + -2x) + -7x

Combine like terms: -2x + -7x = -9x
26 + -8x = 6 + -9x

Solving
26 + -8x = 6 + -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.
26 + -8x + 9x = 6 + -9x + 9x

Combine like terms: -8x + 9x = 1x
26 + 1x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
26 + 1x = 6 + 0
26 + 1x = 6

Add '-26' to each side of the equation.
26 + -26 + 1x = 6 + -26

Combine like terms: 26 + -26 = 0
0 + 1x = 6 + -26
1x = 6 + -26

Combine like terms: 6 + -26 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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