3(x-20)=4(x-30)

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Solution for 3(x-20)=4(x-30) equation: 


Simplifying
3(x + -20) = 4(x + -30)

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

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

Solving
-60 + 3x = -120 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-60 + 3x + -4x = -120 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-60 + -1x = -120 + 4x + -4x

Combine like terms: 4x + -4x = 0
-60 + -1x = -120 + 0
-60 + -1x = -120

Add '60' to each side of the equation.
-60 + 60 + -1x = -120 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = -120 + 60
-1x = -120 + 60

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

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

Simplifying
x = 60

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