14+2x=4(x-3)+6

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Solution for 14+2x=4(x-3)+6 equation:


Simplifying
14 + 2x = 4(x + -3) + 6

Reorder the terms:
14 + 2x = 4(-3 + x) + 6
14 + 2x = (-3 * 4 + x * 4) + 6
14 + 2x = (-12 + 4x) + 6

Reorder the terms:
14 + 2x = -12 + 6 + 4x

Combine like terms: -12 + 6 = -6
14 + 2x = -6 + 4x

Solving
14 + 2x = -6 + 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.
14 + 2x + -4x = -6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
14 + -2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -2x = -6 + 0
14 + -2x = -6

Add '-14' to each side of the equation.
14 + -14 + -2x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -6 + -14
-2x = -6 + -14

Combine like terms: -6 + -14 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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