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

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


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

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

Reorder the terms:
10 + x = -30 + 33 + 5x

Combine like terms: -30 + 33 = 3
10 + x = 3 + 5x

Solving
10 + x = 3 + 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.
10 + x + -5x = 3 + 5x + -5x

Combine like terms: x + -5x = -4x
10 + -4x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -4x = 3 + 0
10 + -4x = 3

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

Combine like terms: 10 + -10 = 0
0 + -4x = 3 + -10
-4x = 3 + -10

Combine like terms: 3 + -10 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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