2x-8(7x+4)=-21x+14

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Solution for 2x-8(7x+4)=-21x+14 equation:


Simplifying
2x + -8(7x + 4) = -21x + 14

Reorder the terms:
2x + -8(4 + 7x) = -21x + 14
2x + (4 * -8 + 7x * -8) = -21x + 14
2x + (-32 + -56x) = -21x + 14

Reorder the terms:
-32 + 2x + -56x = -21x + 14

Combine like terms: 2x + -56x = -54x
-32 + -54x = -21x + 14

Reorder the terms:
-32 + -54x = 14 + -21x

Solving
-32 + -54x = 14 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
-32 + -54x + 21x = 14 + -21x + 21x

Combine like terms: -54x + 21x = -33x
-32 + -33x = 14 + -21x + 21x

Combine like terms: -21x + 21x = 0
-32 + -33x = 14 + 0
-32 + -33x = 14

Add '32' to each side of the equation.
-32 + 32 + -33x = 14 + 32

Combine like terms: -32 + 32 = 0
0 + -33x = 14 + 32
-33x = 14 + 32

Combine like terms: 14 + 32 = 46
-33x = 46

Divide each side by '-33'.
x = -1.393939394

Simplifying
x = -1.393939394

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