6(x+26)-62=2(x+150)+37

Solution for 6(x+26)-62=2(x+150)+37 equation:

Simplifying
6(x + 26) + -62 = 2(x + 150) + 37

Reorder the terms:
6(26 + x) + -62 = 2(x + 150) + 37
(26 * 6 + x * 6) + -62 = 2(x + 150) + 37
(156 + 6x) + -62 = 2(x + 150) + 37

Reorder the terms:
156 + -62 + 6x = 2(x + 150) + 37

Combine like terms: 156 + -62 = 94
94 + 6x = 2(x + 150) + 37

Reorder the terms:
94 + 6x = 2(150 + x) + 37
94 + 6x = (150 * 2 + x * 2) + 37
94 + 6x = (300 + 2x) + 37

Reorder the terms:
94 + 6x = 300 + 37 + 2x

Combine like terms: 300 + 37 = 337
94 + 6x = 337 + 2x

Solving
94 + 6x = 337 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
94 + 6x + -2x = 337 + 2x + -2x

Combine like terms: 6x + -2x = 4x
94 + 4x = 337 + 2x + -2x

Combine like terms: 2x + -2x = 0
94 + 4x = 337 + 0
94 + 4x = 337

Add '-94' to each side of the equation.
94 + -94 + 4x = 337 + -94

Combine like terms: 94 + -94 = 0
0 + 4x = 337 + -94
4x = 337 + -94

Combine like terms: 337 + -94 = 243
4x = 243

Divide each side by '4'.
x = 60.75

Simplifying
x = 60.75