5(4x+3)-8=3(2-4x)+17

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Solution for 5(4x+3)-8=3(2-4x)+17 equation:


Simplifying
5(4x + 3) + -8 = 3(2 + -4x) + 17

Reorder the terms:
5(3 + 4x) + -8 = 3(2 + -4x) + 17
(3 * 5 + 4x * 5) + -8 = 3(2 + -4x) + 17
(15 + 20x) + -8 = 3(2 + -4x) + 17

Reorder the terms:
15 + -8 + 20x = 3(2 + -4x) + 17

Combine like terms: 15 + -8 = 7
7 + 20x = 3(2 + -4x) + 17
7 + 20x = (2 * 3 + -4x * 3) + 17
7 + 20x = (6 + -12x) + 17

Reorder the terms:
7 + 20x = 6 + 17 + -12x

Combine like terms: 6 + 17 = 23
7 + 20x = 23 + -12x

Solving
7 + 20x = 23 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
7 + 20x + 12x = 23 + -12x + 12x

Combine like terms: 20x + 12x = 32x
7 + 32x = 23 + -12x + 12x

Combine like terms: -12x + 12x = 0
7 + 32x = 23 + 0
7 + 32x = 23

Add '-7' to each side of the equation.
7 + -7 + 32x = 23 + -7

Combine like terms: 7 + -7 = 0
0 + 32x = 23 + -7
32x = 23 + -7

Combine like terms: 23 + -7 = 16
32x = 16

Divide each side by '32'.
x = 0.5

Simplifying
x = 0.5

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