7-4(x-1)=9-5x

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Solution for 7-4(x-1)=9-5x equation:


Simplifying
7 + -4(x + -1) = 9 + -5x

Reorder the terms:
7 + -4(-1 + x) = 9 + -5x
7 + (-1 * -4 + x * -4) = 9 + -5x
7 + (4 + -4x) = 9 + -5x

Combine like terms: 7 + 4 = 11
11 + -4x = 9 + -5x

Solving
11 + -4x = 9 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
11 + -4x + 5x = 9 + -5x + 5x

Combine like terms: -4x + 5x = 1x
11 + 1x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
11 + 1x = 9 + 0
11 + 1x = 9

Add '-11' to each side of the equation.
11 + -11 + 1x = 9 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 9 + -11
1x = 9 + -11

Combine like terms: 9 + -11 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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