8(2x-3)-6(4x+8)=21

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Solution for 8(2x-3)-6(4x+8)=21 equation:


Simplifying
8(2x + -3) + -6(4x + 8) = 21

Reorder the terms:
8(-3 + 2x) + -6(4x + 8) = 21
(-3 * 8 + 2x * 8) + -6(4x + 8) = 21
(-24 + 16x) + -6(4x + 8) = 21

Reorder the terms:
-24 + 16x + -6(8 + 4x) = 21
-24 + 16x + (8 * -6 + 4x * -6) = 21
-24 + 16x + (-48 + -24x) = 21

Reorder the terms:
-24 + -48 + 16x + -24x = 21

Combine like terms: -24 + -48 = -72
-72 + 16x + -24x = 21

Combine like terms: 16x + -24x = -8x
-72 + -8x = 21

Solving
-72 + -8x = 21

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + -8x = 21 + 72

Combine like terms: -72 + 72 = 0
0 + -8x = 21 + 72
-8x = 21 + 72

Combine like terms: 21 + 72 = 93
-8x = 93

Divide each side by '-8'.
x = -11.625

Simplifying
x = -11.625

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