8-(4x-9)=20-7x

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Solution for 8-(4x-9)=20-7x equation:


Simplifying
8 + -1(4x + -9) = 20 + -7x

Reorder the terms:
8 + -1(-9 + 4x) = 20 + -7x
8 + (-9 * -1 + 4x * -1) = 20 + -7x
8 + (9 + -4x) = 20 + -7x

Combine like terms: 8 + 9 = 17
17 + -4x = 20 + -7x

Solving
17 + -4x = 20 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
17 + -4x + 7x = 20 + -7x + 7x

Combine like terms: -4x + 7x = 3x
17 + 3x = 20 + -7x + 7x

Combine like terms: -7x + 7x = 0
17 + 3x = 20 + 0
17 + 3x = 20

Add '-17' to each side of the equation.
17 + -17 + 3x = 20 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 20 + -17
3x = 20 + -17

Combine like terms: 20 + -17 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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