8-(3x-7)=1-4x

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Solution for 8-(3x-7)=1-4x equation:


Simplifying
8 + -1(3x + -7) = 1 + -4x

Reorder the terms:
8 + -1(-7 + 3x) = 1 + -4x
8 + (-7 * -1 + 3x * -1) = 1 + -4x
8 + (7 + -3x) = 1 + -4x

Combine like terms: 8 + 7 = 15
15 + -3x = 1 + -4x

Solving
15 + -3x = 1 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + -3x + 4x = 1 + -4x + 4x

Combine like terms: -3x + 4x = 1x
15 + 1x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 1x = 1 + 0
15 + 1x = 1

Add '-15' to each side of the equation.
15 + -15 + 1x = 1 + -15

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

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

Divide each side by '1'.
x = -14

Simplifying
x = -14

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