7(x-8)+20=3(x-4)

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Solution for 7(x-8)+20=3(x-4) equation:


Simplifying
7(x + -8) + 20 = 3(x + -4)

Reorder the terms:
7(-8 + x) + 20 = 3(x + -4)
(-8 * 7 + x * 7) + 20 = 3(x + -4)
(-56 + 7x) + 20 = 3(x + -4)

Reorder the terms:
-56 + 20 + 7x = 3(x + -4)

Combine like terms: -56 + 20 = -36
-36 + 7x = 3(x + -4)

Reorder the terms:
-36 + 7x = 3(-4 + x)
-36 + 7x = (-4 * 3 + x * 3)
-36 + 7x = (-12 + 3x)

Solving
-36 + 7x = -12 + 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.
-36 + 7x + -3x = -12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-36 + 4x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 4x = -12 + 0
-36 + 4x = -12

Add '36' to each side of the equation.
-36 + 36 + 4x = -12 + 36

Combine like terms: -36 + 36 = 0
0 + 4x = -12 + 36
4x = -12 + 36

Combine like terms: -12 + 36 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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