4(5-2x)-3(1-2x)=32x

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Solution for 4(5-2x)-3(1-2x)=32x equation:


Simplifying
4(5 + -2x) + -3(1 + -2x) = 32x
(5 * 4 + -2x * 4) + -3(1 + -2x) = 32x
(20 + -8x) + -3(1 + -2x) = 32x
20 + -8x + (1 * -3 + -2x * -3) = 32x
20 + -8x + (-3 + 6x) = 32x

Reorder the terms:
20 + -3 + -8x + 6x = 32x

Combine like terms: 20 + -3 = 17
17 + -8x + 6x = 32x

Combine like terms: -8x + 6x = -2x
17 + -2x = 32x

Solving
17 + -2x = 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
17 + -2x + -32x = 32x + -32x

Combine like terms: -2x + -32x = -34x
17 + -34x = 32x + -32x

Combine like terms: 32x + -32x = 0
17 + -34x = 0

Add '-17' to each side of the equation.
17 + -17 + -34x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -34x = 0 + -17
-34x = 0 + -17

Combine like terms: 0 + -17 = -17
-34x = -17

Divide each side by '-34'.
x = 0.5

Simplifying
x = 0.5

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