-14+3(x+10)=7(2c+4)+x

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Solution for -14+3(x+10)=7(2c+4)+x equation: 


Simplifying
-14 + 3(x + 10) = 7(2c + 4) + x

Reorder the terms:
-14 + 3(10 + x) = 7(2c + 4) + x
-14 + (10 * 3 + x * 3) = 7(2c + 4) + x
-14 + (30 + 3x) = 7(2c + 4) + x

Combine like terms: -14 + 30 = 16
16 + 3x = 7(2c + 4) + x

Reorder the terms:
16 + 3x = 7(4 + 2c) + x
16 + 3x = (4 * 7 + 2c * 7) + x
16 + 3x = (28 + 14c) + x

Solving
16 + 3x = 28 + 14c + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + 3x + -1x = 28 + 14c + x + -1x

Combine like terms: 3x + -1x = 2x
16 + 2x = 28 + 14c + x + -1x

Combine like terms: x + -1x = 0
16 + 2x = 28 + 14c + 0
16 + 2x = 28 + 14c

Add '-16' to each side of the equation.
16 + -16 + 2x = 28 + -16 + 14c

Combine like terms: 16 + -16 = 0
0 + 2x = 28 + -16 + 14c
2x = 28 + -16 + 14c

Combine like terms: 28 + -16 = 12
2x = 12 + 14c

Divide each side by '2'.
x = 6 + 7c

Simplifying
x = 6 + 7c

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