.5(4x+14)=2(2x-7)

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Solution for .5(4x+14)=2(2x-7) equation:


Simplifying
0.5(4x + 14) = 2(2x + -7)

Reorder the terms:
0.5(14 + 4x) = 2(2x + -7)
(14 * 0.5 + 4x * 0.5) = 2(2x + -7)
(7 + 2x) = 2(2x + -7)

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

Solving
7 + 2x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 2x + -4x = -14 + 4x + -4x

Combine like terms: 2x + -4x = -2x
7 + -2x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -2x = -14 + 0
7 + -2x = -14

Add '-7' to each side of the equation.
7 + -7 + -2x = -14 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -14 + -7
-2x = -14 + -7

Combine like terms: -14 + -7 = -21
-2x = -21

Divide each side by '-2'.
x = 10.5

Simplifying
x = 10.5

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