5x+14(2-x)=16x-4

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Solution for 5x+14(2-x)=16x-4 equation:


Simplifying
5x + 14(2 + -1x) = 16x + -4
5x + (2 * 14 + -1x * 14) = 16x + -4
5x + (28 + -14x) = 16x + -4

Reorder the terms:
28 + 5x + -14x = 16x + -4

Combine like terms: 5x + -14x = -9x
28 + -9x = 16x + -4

Reorder the terms:
28 + -9x = -4 + 16x

Solving
28 + -9x = -4 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
28 + -9x + -16x = -4 + 16x + -16x

Combine like terms: -9x + -16x = -25x
28 + -25x = -4 + 16x + -16x

Combine like terms: 16x + -16x = 0
28 + -25x = -4 + 0
28 + -25x = -4

Add '-28' to each side of the equation.
28 + -28 + -25x = -4 + -28

Combine like terms: 28 + -28 = 0
0 + -25x = -4 + -28
-25x = -4 + -28

Combine like terms: -4 + -28 = -32
-25x = -32

Divide each side by '-25'.
x = 1.28

Simplifying
x = 1.28

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