4(2x+3)-2(x-8)=32x+1

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Solution for 4(2x+3)-2(x-8)=32x+1 equation:


Simplifying
4(2x + 3) + -2(x + -8) = 32x + 1

Reorder the terms:
4(3 + 2x) + -2(x + -8) = 32x + 1
(3 * 4 + 2x * 4) + -2(x + -8) = 32x + 1
(12 + 8x) + -2(x + -8) = 32x + 1

Reorder the terms:
12 + 8x + -2(-8 + x) = 32x + 1
12 + 8x + (-8 * -2 + x * -2) = 32x + 1
12 + 8x + (16 + -2x) = 32x + 1

Reorder the terms:
12 + 16 + 8x + -2x = 32x + 1

Combine like terms: 12 + 16 = 28
28 + 8x + -2x = 32x + 1

Combine like terms: 8x + -2x = 6x
28 + 6x = 32x + 1

Reorder the terms:
28 + 6x = 1 + 32x

Solving
28 + 6x = 1 + 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.
28 + 6x + -32x = 1 + 32x + -32x

Combine like terms: 6x + -32x = -26x
28 + -26x = 1 + 32x + -32x

Combine like terms: 32x + -32x = 0
28 + -26x = 1 + 0
28 + -26x = 1

Add '-28' to each side of the equation.
28 + -28 + -26x = 1 + -28

Combine like terms: 28 + -28 = 0
0 + -26x = 1 + -28
-26x = 1 + -28

Combine like terms: 1 + -28 = -27
-26x = -27

Divide each side by '-26'.
x = 1.038461538

Simplifying
x = 1.038461538

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