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

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Solution for 33-(x-7)=9x-4 equation:


Simplifying
33 + -1(x + -7) = 9x + -4

Reorder the terms:
33 + -1(-7 + x) = 9x + -4
33 + (-7 * -1 + x * -1) = 9x + -4
33 + (7 + -1x) = 9x + -4

Combine like terms: 33 + 7 = 40
40 + -1x = 9x + -4

Reorder the terms:
40 + -1x = -4 + 9x

Solving
40 + -1x = -4 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
40 + -1x + -9x = -4 + 9x + -9x

Combine like terms: -1x + -9x = -10x
40 + -10x = -4 + 9x + -9x

Combine like terms: 9x + -9x = 0
40 + -10x = -4 + 0
40 + -10x = -4

Add '-40' to each side of the equation.
40 + -40 + -10x = -4 + -40

Combine like terms: 40 + -40 = 0
0 + -10x = -4 + -40
-10x = -4 + -40

Combine like terms: -4 + -40 = -44
-10x = -44

Divide each side by '-10'.
x = 4.4

Simplifying
x = 4.4

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