.5(8x+14)=6x-5

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Solution for .5(8x+14)=6x-5 equation:


Simplifying
0.5(8x + 14) = 6x + -5

Reorder the terms:
0.5(14 + 8x) = 6x + -5
(14 * 0.5 + 8x * 0.5) = 6x + -5
(7 + 4x) = 6x + -5

Reorder the terms:
7 + 4x = -5 + 6x

Solving
7 + 4x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + 4x + -6x = -5 + 6x + -6x

Combine like terms: 4x + -6x = -2x
7 + -2x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -2x = -5 + 0
7 + -2x = -5

Add '-7' to each side of the equation.
7 + -7 + -2x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -5 + -7
-2x = -5 + -7

Combine like terms: -5 + -7 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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