0.003(6x+1)=0.18(x+7)-1.23

Solution for 0.003(6x+1)=0.18(x+7)-1.23 equation:

Simplifying
0.003(6x + 1) = 0.18(x + 7) + -1.23

Reorder the terms:
0.003(1 + 6x) = 0.18(x + 7) + -1.23
(1 * 0.003 + 6x * 0.003) = 0.18(x + 7) + -1.23
(0.003 + 0.018x) = 0.18(x + 7) + -1.23

Reorder the terms:
0.003 + 0.018x = 0.18(7 + x) + -1.23
0.003 + 0.018x = (7 * 0.18 + x * 0.18) + -1.23
0.003 + 0.018x = (1.26 + 0.18x) + -1.23

Reorder the terms:
0.003 + 0.018x = 1.26 + -1.23 + 0.18x

Combine like terms: 1.26 + -1.23 = 0.03
0.003 + 0.018x = 0.03 + 0.18x

Solving
0.003 + 0.018x = 0.03 + 0.18x

Solving for variable 'x'.

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

Add '-0.18x' to each side of the equation.
0.003 + 0.018x + -0.18x = 0.03 + 0.18x + -0.18x

Combine like terms: 0.018x + -0.18x = -0.162x
0.003 + -0.162x = 0.03 + 0.18x + -0.18x

Combine like terms: 0.18x + -0.18x = 0.00
0.003 + -0.162x = 0.03 + 0.00
0.003 + -0.162x = 0.03

Add '-0.003' to each side of the equation.
0.003 + -0.003 + -0.162x = 0.03 + -0.003

Combine like terms: 0.003 + -0.003 = 0.000
0.000 + -0.162x = 0.03 + -0.003
-0.162x = 0.03 + -0.003

Combine like terms: 0.03 + -0.003 = 0.027
-0.162x = 0.027

Divide each side by '-0.162'.
x = -0.1666666667

Simplifying
x = -0.1666666667