3(x-1)-2=4(4-x)

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Solution for 3(x-1)-2=4(4-x) equation:


Simplifying
3(x + -1) + -2 = 4(4 + -1x)

Reorder the terms:
3(-1 + x) + -2 = 4(4 + -1x)
(-1 * 3 + x * 3) + -2 = 4(4 + -1x)
(-3 + 3x) + -2 = 4(4 + -1x)

Reorder the terms:
-3 + -2 + 3x = 4(4 + -1x)

Combine like terms: -3 + -2 = -5
-5 + 3x = 4(4 + -1x)
-5 + 3x = (4 * 4 + -1x * 4)
-5 + 3x = (16 + -4x)

Solving
-5 + 3x = 16 + -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.
-5 + 3x + 4x = 16 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-5 + 7x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 7x = 16 + 0
-5 + 7x = 16

Add '5' to each side of the equation.
-5 + 5 + 7x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 16 + 5
7x = 16 + 5

Combine like terms: 16 + 5 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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