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

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


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

Reorder the terms:
2 + -4(4 + x) = 7x + -14
2 + (4 * -4 + x * -4) = 7x + -14
2 + (-16 + -4x) = 7x + -14

Combine like terms: 2 + -16 = -14
-14 + -4x = 7x + -14

Reorder the terms:
-14 + -4x = -14 + 7x

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

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

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

Solving
-4x = 7x

Solving for variable 'x'.

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

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

Combine like terms: -4x + -7x = -11x
-11x = 7x + -7x

Combine like terms: 7x + -7x = 0
-11x = 0

Divide each side by '-11'.
x = 0

Simplifying
x = 0

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