x-6(x+4)=3-4(2x+5)

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Solution for x-6(x+4)=3-4(2x+5) equation:


Simplifying
x + -6(x + 4) = 3 + -4(2x + 5)

Reorder the terms:
x + -6(4 + x) = 3 + -4(2x + 5)
x + (4 * -6 + x * -6) = 3 + -4(2x + 5)
x + (-24 + -6x) = 3 + -4(2x + 5)

Reorder the terms:
-24 + x + -6x = 3 + -4(2x + 5)

Combine like terms: x + -6x = -5x
-24 + -5x = 3 + -4(2x + 5)

Reorder the terms:
-24 + -5x = 3 + -4(5 + 2x)
-24 + -5x = 3 + (5 * -4 + 2x * -4)
-24 + -5x = 3 + (-20 + -8x)

Combine like terms: 3 + -20 = -17
-24 + -5x = -17 + -8x

Solving
-24 + -5x = -17 + -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.
-24 + -5x + 8x = -17 + -8x + 8x

Combine like terms: -5x + 8x = 3x
-24 + 3x = -17 + -8x + 8x

Combine like terms: -8x + 8x = 0
-24 + 3x = -17 + 0
-24 + 3x = -17

Add '24' to each side of the equation.
-24 + 24 + 3x = -17 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -17 + 24
3x = -17 + 24

Combine like terms: -17 + 24 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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