6(x-10)-60=3(x-20)+4(x-30)

Solution for 6(x-10)-60=3(x-20)+4(x-30) equation:

Simplifying
6(x + -10) + -60 = 3(x + -20) + 4(x + -30)

Reorder the terms:
6(-10 + x) + -60 = 3(x + -20) + 4(x + -30)
(-10 * 6 + x * 6) + -60 = 3(x + -20) + 4(x + -30)
(-60 + 6x) + -60 = 3(x + -20) + 4(x + -30)

Reorder the terms:
-60 + -60 + 6x = 3(x + -20) + 4(x + -30)

Combine like terms: -60 + -60 = -120
-120 + 6x = 3(x + -20) + 4(x + -30)

Reorder the terms:
-120 + 6x = 3(-20 + x) + 4(x + -30)
-120 + 6x = (-20 * 3 + x * 3) + 4(x + -30)
-120 + 6x = (-60 + 3x) + 4(x + -30)

Reorder the terms:
-120 + 6x = -60 + 3x + 4(-30 + x)
-120 + 6x = -60 + 3x + (-30 * 4 + x * 4)
-120 + 6x = -60 + 3x + (-120 + 4x)

Reorder the terms:
-120 + 6x = -60 + -120 + 3x + 4x

Combine like terms: -60 + -120 = -180
-120 + 6x = -180 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-120 + 6x = -180 + 7x

Solving
-120 + 6x = -180 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-120 + 6x + -7x = -180 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-120 + -1x = -180 + 7x + -7x

Combine like terms: 7x + -7x = 0
-120 + -1x = -180 + 0
-120 + -1x = -180

Add '120' to each side of the equation.
-120 + 120 + -1x = -180 + 120

Combine like terms: -120 + 120 = 0
0 + -1x = -180 + 120
-1x = -180 + 120

Combine like terms: -180 + 120 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60