7-(3x-9)=7-4x

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Solution for 7-(3x-9)=7-4x equation:


Simplifying
7 + -1(3x + -9) = 7 + -4x

Reorder the terms:
7 + -1(-9 + 3x) = 7 + -4x
7 + (-9 * -1 + 3x * -1) = 7 + -4x
7 + (9 + -3x) = 7 + -4x

Combine like terms: 7 + 9 = 16
16 + -3x = 7 + -4x

Solving
16 + -3x = 7 + -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.
16 + -3x + 4x = 7 + -4x + 4x

Combine like terms: -3x + 4x = 1x
16 + 1x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + 1x = 7 + 0
16 + 1x = 7

Add '-16' to each side of the equation.
16 + -16 + 1x = 7 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 7 + -16
1x = 7 + -16

Combine like terms: 7 + -16 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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