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

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Solution for 1+8(-x+3)=-(3x-1)-7 equation:


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

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

Combine like terms: 1 + 24 = 25
25 + -8x = -1(3x + -1) + -7

Reorder the terms:
25 + -8x = -1(-1 + 3x) + -7
25 + -8x = (-1 * -1 + 3x * -1) + -7
25 + -8x = (1 + -3x) + -7

Reorder the terms:
25 + -8x = 1 + -7 + -3x

Combine like terms: 1 + -7 = -6
25 + -8x = -6 + -3x

Solving
25 + -8x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
25 + -8x + 3x = -6 + -3x + 3x

Combine like terms: -8x + 3x = -5x
25 + -5x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
25 + -5x = -6 + 0
25 + -5x = -6

Add '-25' to each side of the equation.
25 + -25 + -5x = -6 + -25

Combine like terms: 25 + -25 = 0
0 + -5x = -6 + -25
-5x = -6 + -25

Combine like terms: -6 + -25 = -31
-5x = -31

Divide each side by '-5'.
x = 6.2

Simplifying
x = 6.2

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