4(10-2x)=33-3(2x+1)

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Solution for 4(10-2x)=33-3(2x+1) equation: 


Simplifying
4(10 + -2x) = 33 + -3(2x + 1)
(10 * 4 + -2x * 4) = 33 + -3(2x + 1)
(40 + -8x) = 33 + -3(2x + 1)

Reorder the terms:
40 + -8x = 33 + -3(1 + 2x)
40 + -8x = 33 + (1 * -3 + 2x * -3)
40 + -8x = 33 + (-3 + -6x)

Combine like terms: 33 + -3 = 30
40 + -8x = 30 + -6x

Solving
40 + -8x = 30 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
40 + -8x + 6x = 30 + -6x + 6x

Combine like terms: -8x + 6x = -2x
40 + -2x = 30 + -6x + 6x

Combine like terms: -6x + 6x = 0
40 + -2x = 30 + 0
40 + -2x = 30

Add '-40' to each side of the equation.
40 + -40 + -2x = 30 + -40

Combine like terms: 40 + -40 = 0
0 + -2x = 30 + -40
-2x = 30 + -40

Combine like terms: 30 + -40 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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