4(x-2)-12(1)=3(x-7)

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Solution for 4(x-2)-12(1)=3(x-7) equation:


Simplifying
4(x + -2) + -12(1) = 3(x + -7)

Reorder the terms:
4(-2 + x) + -12(1) = 3(x + -7)
(-2 * 4 + x * 4) + -12(1) = 3(x + -7)
(-8 + 4x) + -12(1) = 3(x + -7)

Multiply -12 * 1
-8 + 4x + -12 = 3(x + -7)

Reorder the terms:
-8 + -12 + 4x = 3(x + -7)

Combine like terms: -8 + -12 = -20
-20 + 4x = 3(x + -7)

Reorder the terms:
-20 + 4x = 3(-7 + x)
-20 + 4x = (-7 * 3 + x * 3)
-20 + 4x = (-21 + 3x)

Solving
-20 + 4x = -21 + 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.
-20 + 4x + -3x = -21 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-20 + 1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 1x = -21 + 0
-20 + 1x = -21

Add '20' to each side of the equation.
-20 + 20 + 1x = -21 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = -21 + 20
1x = -21 + 20

Combine like terms: -21 + 20 = -1
1x = -1

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

Simplifying
x = -1

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