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

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


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

Reorder the terms:
3(2 + 5x) + -4(x + -8) = 0
(2 * 3 + 5x * 3) + -4(x + -8) = 0
(6 + 15x) + -4(x + -8) = 0

Reorder the terms:
6 + 15x + -4(-8 + x) = 0
6 + 15x + (-8 * -4 + x * -4) = 0
6 + 15x + (32 + -4x) = 0

Reorder the terms:
6 + 32 + 15x + -4x = 0

Combine like terms: 6 + 32 = 38
38 + 15x + -4x = 0

Combine like terms: 15x + -4x = 11x
38 + 11x = 0

Solving
38 + 11x = 0

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 11x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 11x = 0 + -38
11x = 0 + -38

Combine like terms: 0 + -38 = -38
11x = -38

Divide each side by '11'.
x = -3.454545455

Simplifying
x = -3.454545455

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