4(2x+7)-3(x+8)=14

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Solution for 4(2x+7)-3(x+8)=14 equation:


Simplifying
4(2x + 7) + -3(x + 8) = 14

Reorder the terms:
4(7 + 2x) + -3(x + 8) = 14
(7 * 4 + 2x * 4) + -3(x + 8) = 14
(28 + 8x) + -3(x + 8) = 14

Reorder the terms:
28 + 8x + -3(8 + x) = 14
28 + 8x + (8 * -3 + x * -3) = 14
28 + 8x + (-24 + -3x) = 14

Reorder the terms:
28 + -24 + 8x + -3x = 14

Combine like terms: 28 + -24 = 4
4 + 8x + -3x = 14

Combine like terms: 8x + -3x = 5x
4 + 5x = 14

Solving
4 + 5x = 14

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 14 + -4
5x = 14 + -4

Combine like terms: 14 + -4 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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