3-4(3x+8)+8+5(2x-3)=

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Solution for 3-4(3x+8)+8+5(2x-3)= equation:


Simplifying
3 + -4(3x + 8) + 8 + 5(2x + -3) = 0

Reorder the terms:
3 + -4(8 + 3x) + 8 + 5(2x + -3) = 0
3 + (8 * -4 + 3x * -4) + 8 + 5(2x + -3) = 0
3 + (-32 + -12x) + 8 + 5(2x + -3) = 0

Reorder the terms:
3 + -32 + -12x + 8 + 5(-3 + 2x) = 0
3 + -32 + -12x + 8 + (-3 * 5 + 2x * 5) = 0
3 + -32 + -12x + 8 + (-15 + 10x) = 0

Reorder the terms:
3 + -32 + 8 + -15 + -12x + 10x = 0

Combine like terms: 3 + -32 = -29
-29 + 8 + -15 + -12x + 10x = 0

Combine like terms: -29 + 8 = -21
-21 + -15 + -12x + 10x = 0

Combine like terms: -21 + -15 = -36
-36 + -12x + 10x = 0

Combine like terms: -12x + 10x = -2x
-36 + -2x = 0

Solving
-36 + -2x = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + -2x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = 0 + 36
-2x = 0 + 36

Combine like terms: 0 + 36 = 36
-2x = 36

Divide each side by '-2'.
x = -18

Simplifying
x = -18

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