14(2x-3)-6(3x-8)=2(4x+15)+17

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Solution for 14(2x-3)-6(3x-8)=2(4x+15)+17 equation:


Simplifying
14(2x + -3) + -6(3x + -8) = 2(4x + 15) + 17

Reorder the terms:
14(-3 + 2x) + -6(3x + -8) = 2(4x + 15) + 17
(-3 * 14 + 2x * 14) + -6(3x + -8) = 2(4x + 15) + 17
(-42 + 28x) + -6(3x + -8) = 2(4x + 15) + 17

Reorder the terms:
-42 + 28x + -6(-8 + 3x) = 2(4x + 15) + 17
-42 + 28x + (-8 * -6 + 3x * -6) = 2(4x + 15) + 17
-42 + 28x + (48 + -18x) = 2(4x + 15) + 17

Reorder the terms:
-42 + 48 + 28x + -18x = 2(4x + 15) + 17

Combine like terms: -42 + 48 = 6
6 + 28x + -18x = 2(4x + 15) + 17

Combine like terms: 28x + -18x = 10x
6 + 10x = 2(4x + 15) + 17

Reorder the terms:
6 + 10x = 2(15 + 4x) + 17
6 + 10x = (15 * 2 + 4x * 2) + 17
6 + 10x = (30 + 8x) + 17

Reorder the terms:
6 + 10x = 30 + 17 + 8x

Combine like terms: 30 + 17 = 47
6 + 10x = 47 + 8x

Solving
6 + 10x = 47 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 10x + -8x = 47 + 8x + -8x

Combine like terms: 10x + -8x = 2x
6 + 2x = 47 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 2x = 47 + 0
6 + 2x = 47

Add '-6' to each side of the equation.
6 + -6 + 2x = 47 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 47 + -6
2x = 47 + -6

Combine like terms: 47 + -6 = 41
2x = 41

Divide each side by '2'.
x = 20.5

Simplifying
x = 20.5

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