14x(x-3)-40=2x(7x-9)+8

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Solution for 14x(x-3)-40=2x(7x-9)+8 equation:


Simplifying
14x(x + -3) + -40 = 2x(7x + -9) + 8

Reorder the terms:
14x(-3 + x) + -40 = 2x(7x + -9) + 8
(-3 * 14x + x * 14x) + -40 = 2x(7x + -9) + 8
(-42x + 14x2) + -40 = 2x(7x + -9) + 8

Reorder the terms:
-40 + -42x + 14x2 = 2x(7x + -9) + 8

Reorder the terms:
-40 + -42x + 14x2 = 2x(-9 + 7x) + 8
-40 + -42x + 14x2 = (-9 * 2x + 7x * 2x) + 8
-40 + -42x + 14x2 = (-18x + 14x2) + 8

Reorder the terms:
-40 + -42x + 14x2 = 8 + -18x + 14x2

Add '-14x2' to each side of the equation.
-40 + -42x + 14x2 + -14x2 = 8 + -18x + 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-40 + -42x + 0 = 8 + -18x + 14x2 + -14x2
-40 + -42x = 8 + -18x + 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-40 + -42x = 8 + -18x + 0
-40 + -42x = 8 + -18x

Solving
-40 + -42x = 8 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-40 + -42x + 18x = 8 + -18x + 18x

Combine like terms: -42x + 18x = -24x
-40 + -24x = 8 + -18x + 18x

Combine like terms: -18x + 18x = 0
-40 + -24x = 8 + 0
-40 + -24x = 8

Add '40' to each side of the equation.
-40 + 40 + -24x = 8 + 40

Combine like terms: -40 + 40 = 0
0 + -24x = 8 + 40
-24x = 8 + 40

Combine like terms: 8 + 40 = 48
-24x = 48

Divide each side by '-24'.
x = -2

Simplifying
x = -2

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