x+6(x-5)=4.2(x-3)

Solution for x+6(x-5)=4.2(x-3) equation:

Simplifying
x + 6(x + -5) = 4.2(x + -3)

Reorder the terms:
x + 6(-5 + x) = 4.2(x + -3)
x + (-5 * 6 + x * 6) = 4.2(x + -3)
x + (-30 + 6x) = 4.2(x + -3)

Reorder the terms:
-30 + x + 6x = 4.2(x + -3)

Combine like terms: x + 6x = 7x
-30 + 7x = 4.2(x + -3)

Reorder the terms:
-30 + 7x = 4.2(-3 + x)
-30 + 7x = (-3 * 4.2 + x * 4.2)
-30 + 7x = (-12.6 + 4.2x)

Solving
-30 + 7x = -12.6 + 4.2x

Solving for variable 'x'.

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

Add '-4.2x' to each side of the equation.
-30 + 7x + -4.2x = -12.6 + 4.2x + -4.2x

Combine like terms: 7x + -4.2x = 2.8x
-30 + 2.8x = -12.6 + 4.2x + -4.2x

Combine like terms: 4.2x + -4.2x = 0.0
-30 + 2.8x = -12.6 + 0.0
-30 + 2.8x = -12.6

Add '30' to each side of the equation.
-30 + 30 + 2.8x = -12.6 + 30

Combine like terms: -30 + 30 = 0
0 + 2.8x = -12.6 + 30
2.8x = -12.6 + 30

Combine like terms: -12.6 + 30 = 17.4
2.8x = 17.4

Divide each side by '2.8'.
x = 6.214285714

Simplifying
x = 6.214285714