44-3(4-2x)=10(2+3x)

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Solution for 44-3(4-2x)=10(2+3x) equation: 


Simplifying
44 + -3(4 + -2x) = 10(2 + 3x)
44 + (4 * -3 + -2x * -3) = 10(2 + 3x)
44 + (-12 + 6x) = 10(2 + 3x)

Combine like terms: 44 + -12 = 32
32 + 6x = 10(2 + 3x)
32 + 6x = (2 * 10 + 3x * 10)
32 + 6x = (20 + 30x)

Solving
32 + 6x = 20 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
32 + 6x + -30x = 20 + 30x + -30x

Combine like terms: 6x + -30x = -24x
32 + -24x = 20 + 30x + -30x

Combine like terms: 30x + -30x = 0
32 + -24x = 20 + 0
32 + -24x = 20

Add '-32' to each side of the equation.
32 + -32 + -24x = 20 + -32

Combine like terms: 32 + -32 = 0
0 + -24x = 20 + -32
-24x = 20 + -32

Combine like terms: 20 + -32 = -12
-24x = -12

Divide each side by '-24'.
x = 0.5

Simplifying
x = 0.5

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