4(x-20)=6-3(x-1)

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Solution for 4(x-20)=6-3(x-1) equation:


Simplifying
4(x + -20) = 6 + -3(x + -1)

Reorder the terms:
4(-20 + x) = 6 + -3(x + -1)
(-20 * 4 + x * 4) = 6 + -3(x + -1)
(-80 + 4x) = 6 + -3(x + -1)

Reorder the terms:
-80 + 4x = 6 + -3(-1 + x)
-80 + 4x = 6 + (-1 * -3 + x * -3)
-80 + 4x = 6 + (3 + -3x)

Combine like terms: 6 + 3 = 9
-80 + 4x = 9 + -3x

Solving
-80 + 4x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-80 + 4x + 3x = 9 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-80 + 7x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-80 + 7x = 9 + 0
-80 + 7x = 9

Add '80' to each side of the equation.
-80 + 80 + 7x = 9 + 80

Combine like terms: -80 + 80 = 0
0 + 7x = 9 + 80
7x = 9 + 80

Combine like terms: 9 + 80 = 89
7x = 89

Divide each side by '7'.
x = 12.71428571

Simplifying
x = 12.71428571

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