14(x-2)+5=16(x+1)+17

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Solution for 14(x-2)+5=16(x+1)+17 equation:


Simplifying
14(x + -2) + 5 = 16(x + 1) + 17

Reorder the terms:
14(-2 + x) + 5 = 16(x + 1) + 17
(-2 * 14 + x * 14) + 5 = 16(x + 1) + 17
(-28 + 14x) + 5 = 16(x + 1) + 17

Reorder the terms:
-28 + 5 + 14x = 16(x + 1) + 17

Combine like terms: -28 + 5 = -23
-23 + 14x = 16(x + 1) + 17

Reorder the terms:
-23 + 14x = 16(1 + x) + 17
-23 + 14x = (1 * 16 + x * 16) + 17
-23 + 14x = (16 + 16x) + 17

Reorder the terms:
-23 + 14x = 16 + 17 + 16x

Combine like terms: 16 + 17 = 33
-23 + 14x = 33 + 16x

Solving
-23 + 14x = 33 + 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.
-23 + 14x + -16x = 33 + 16x + -16x

Combine like terms: 14x + -16x = -2x
-23 + -2x = 33 + 16x + -16x

Combine like terms: 16x + -16x = 0
-23 + -2x = 33 + 0
-23 + -2x = 33

Add '23' to each side of the equation.
-23 + 23 + -2x = 33 + 23

Combine like terms: -23 + 23 = 0
0 + -2x = 33 + 23
-2x = 33 + 23

Combine like terms: 33 + 23 = 56
-2x = 56

Divide each side by '-2'.
x = -28

Simplifying
x = -28

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