3(x-4)=1-1(2x-7)

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Solution for 3(x-4)=1-1(2x-7) equation: 


Simplifying
3(x + -4) = 1 + -1(2x + -7)

Reorder the terms:
3(-4 + x) = 1 + -1(2x + -7)
(-4 * 3 + x * 3) = 1 + -1(2x + -7)
(-12 + 3x) = 1 + -1(2x + -7)

Reorder the terms:
-12 + 3x = 1 + -1(-7 + 2x)
-12 + 3x = 1 + (-7 * -1 + 2x * -1)
-12 + 3x = 1 + (7 + -2x)

Combine like terms: 1 + 7 = 8
-12 + 3x = 8 + -2x

Solving
-12 + 3x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-12 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 5x = 8 + 0
-12 + 5x = 8

Add '12' to each side of the equation.
-12 + 12 + 5x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 8 + 12
5x = 8 + 12

Combine like terms: 8 + 12 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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