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

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


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

Reorder the terms:
4(6 + 4x) + -2(7x + 8) = -24
(6 * 4 + 4x * 4) + -2(7x + 8) = -24
(24 + 16x) + -2(7x + 8) = -24

Reorder the terms:
24 + 16x + -2(8 + 7x) = -24
24 + 16x + (8 * -2 + 7x * -2) = -24
24 + 16x + (-16 + -14x) = -24

Reorder the terms:
24 + -16 + 16x + -14x = -24

Combine like terms: 24 + -16 = 8
8 + 16x + -14x = -24

Combine like terms: 16x + -14x = 2x
8 + 2x = -24

Solving
8 + 2x = -24

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x = -24 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -24 + -8
2x = -24 + -8

Combine like terms: -24 + -8 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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