4x-(5x+3)=9x-33

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Solution for 4x-(5x+3)=9x-33 equation:


Simplifying
4x + -1(5x + 3) = 9x + -33

Reorder the terms:
4x + -1(3 + 5x) = 9x + -33
4x + (3 * -1 + 5x * -1) = 9x + -33
4x + (-3 + -5x) = 9x + -33

Reorder the terms:
-3 + 4x + -5x = 9x + -33

Combine like terms: 4x + -5x = -1x
-3 + -1x = 9x + -33

Reorder the terms:
-3 + -1x = -33 + 9x

Solving
-3 + -1x = -33 + 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.
-3 + -1x + -9x = -33 + 9x + -9x

Combine like terms: -1x + -9x = -10x
-3 + -10x = -33 + 9x + -9x

Combine like terms: 9x + -9x = 0
-3 + -10x = -33 + 0
-3 + -10x = -33

Add '3' to each side of the equation.
-3 + 3 + -10x = -33 + 3

Combine like terms: -3 + 3 = 0
0 + -10x = -33 + 3
-10x = -33 + 3

Combine like terms: -33 + 3 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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