3(10x+24)=-37(x-4)

Solution for 3(10x+24)=-37(x-4) equation:

Simplifying
3(10x + 24) = -37(x + -4)

Reorder the terms:
3(24 + 10x) = -37(x + -4)
(24 * 3 + 10x * 3) = -37(x + -4)
(72 + 30x) = -37(x + -4)

Reorder the terms:
72 + 30x = -37(-4 + x)
72 + 30x = (-4 * -37 + x * -37)
72 + 30x = (148 + -37x)

Solving
72 + 30x = 148 + -37x

Solving for variable 'x'.

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

Add '37x' to each side of the equation.
72 + 30x + 37x = 148 + -37x + 37x

Combine like terms: 30x + 37x = 67x
72 + 67x = 148 + -37x + 37x

Combine like terms: -37x + 37x = 0
72 + 67x = 148 + 0
72 + 67x = 148

Add '-72' to each side of the equation.
72 + -72 + 67x = 148 + -72

Combine like terms: 72 + -72 = 0
0 + 67x = 148 + -72
67x = 148 + -72

Combine like terms: 148 + -72 = 76
67x = 76

Divide each side by '67'.
x = 1.134328358

Simplifying
x = 1.134328358