4(x^2+6x-3)=24-8x+2(2x^2-7)

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Solution for 4(x^2+6x-3)=24-8x+2(2x^2-7) equation:


Simplifying
4(x2 + 6x + -3) = 24 + -8x + 2(2x2 + -7)

Reorder the terms:
4(-3 + 6x + x2) = 24 + -8x + 2(2x2 + -7)
(-3 * 4 + 6x * 4 + x2 * 4) = 24 + -8x + 2(2x2 + -7)
(-12 + 24x + 4x2) = 24 + -8x + 2(2x2 + -7)

Reorder the terms:
-12 + 24x + 4x2 = 24 + -8x + 2(-7 + 2x2)
-12 + 24x + 4x2 = 24 + -8x + (-7 * 2 + 2x2 * 2)
-12 + 24x + 4x2 = 24 + -8x + (-14 + 4x2)

Reorder the terms:
-12 + 24x + 4x2 = 24 + -14 + -8x + 4x2

Combine like terms: 24 + -14 = 10
-12 + 24x + 4x2 = 10 + -8x + 4x2

Add '-4x2' to each side of the equation.
-12 + 24x + 4x2 + -4x2 = 10 + -8x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-12 + 24x + 0 = 10 + -8x + 4x2 + -4x2
-12 + 24x = 10 + -8x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-12 + 24x = 10 + -8x + 0
-12 + 24x = 10 + -8x

Solving
-12 + 24x = 10 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-12 + 24x + 8x = 10 + -8x + 8x

Combine like terms: 24x + 8x = 32x
-12 + 32x = 10 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 32x = 10 + 0
-12 + 32x = 10

Add '12' to each side of the equation.
-12 + 12 + 32x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 32x = 10 + 12
32x = 10 + 12

Combine like terms: 10 + 12 = 22
32x = 22

Divide each side by '32'.
x = 0.6875

Simplifying
x = 0.6875

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