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

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


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

Reorder the terms:
8(-4 + x) = -6(x + 3) + 21
(-4 * 8 + x * 8) = -6(x + 3) + 21
(-32 + 8x) = -6(x + 3) + 21

Reorder the terms:
-32 + 8x = -6(3 + x) + 21
-32 + 8x = (3 * -6 + x * -6) + 21
-32 + 8x = (-18 + -6x) + 21

Reorder the terms:
-32 + 8x = -18 + 21 + -6x

Combine like terms: -18 + 21 = 3
-32 + 8x = 3 + -6x

Solving
-32 + 8x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-32 + 8x + 6x = 3 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-32 + 14x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-32 + 14x = 3 + 0
-32 + 14x = 3

Add '32' to each side of the equation.
-32 + 32 + 14x = 3 + 32

Combine like terms: -32 + 32 = 0
0 + 14x = 3 + 32
14x = 3 + 32

Combine like terms: 3 + 32 = 35
14x = 35

Divide each side by '14'.
x = 2.5

Simplifying
x = 2.5

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