3(5x+6)-4(8x+1)=-37

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Solution for 3(5x+6)-4(8x+1)=-37 equation:


Simplifying
3(5x + 6) + -4(8x + 1) = -37

Reorder the terms:
3(6 + 5x) + -4(8x + 1) = -37
(6 * 3 + 5x * 3) + -4(8x + 1) = -37
(18 + 15x) + -4(8x + 1) = -37

Reorder the terms:
18 + 15x + -4(1 + 8x) = -37
18 + 15x + (1 * -4 + 8x * -4) = -37
18 + 15x + (-4 + -32x) = -37

Reorder the terms:
18 + -4 + 15x + -32x = -37

Combine like terms: 18 + -4 = 14
14 + 15x + -32x = -37

Combine like terms: 15x + -32x = -17x
14 + -17x = -37

Solving
14 + -17x = -37

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -17x = -37 + -14

Combine like terms: 14 + -14 = 0
0 + -17x = -37 + -14
-17x = -37 + -14

Combine like terms: -37 + -14 = -51
-17x = -51

Divide each side by '-17'.
x = 3

Simplifying
x = 3

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