10+4x=5(5x-6)+33

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Solution for 10+4x=5(5x-6)+33 equation:


Simplifying
10 + 4x = 5(5x + -6) + 33

Reorder the terms:
10 + 4x = 5(-6 + 5x) + 33
10 + 4x = (-6 * 5 + 5x * 5) + 33
10 + 4x = (-30 + 25x) + 33

Reorder the terms:
10 + 4x = -30 + 33 + 25x

Combine like terms: -30 + 33 = 3
10 + 4x = 3 + 25x

Solving
10 + 4x = 3 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
10 + 4x + -25x = 3 + 25x + -25x

Combine like terms: 4x + -25x = -21x
10 + -21x = 3 + 25x + -25x

Combine like terms: 25x + -25x = 0
10 + -21x = 3 + 0
10 + -21x = 3

Add '-10' to each side of the equation.
10 + -10 + -21x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -21x = 3 + -10
-21x = 3 + -10

Combine like terms: 3 + -10 = -7
-21x = -7

Divide each side by '-21'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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