6(x-7)+20=4(x-4)

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Solution for 6(x-7)+20=4(x-4) equation:


Simplifying
6(x + -7) + 20 = 4(x + -4)

Reorder the terms:
6(-7 + x) + 20 = 4(x + -4)
(-7 * 6 + x * 6) + 20 = 4(x + -4)
(-42 + 6x) + 20 = 4(x + -4)

Reorder the terms:
-42 + 20 + 6x = 4(x + -4)

Combine like terms: -42 + 20 = -22
-22 + 6x = 4(x + -4)

Reorder the terms:
-22 + 6x = 4(-4 + x)
-22 + 6x = (-4 * 4 + x * 4)
-22 + 6x = (-16 + 4x)

Solving
-22 + 6x = -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.
-22 + 6x + -4x = -16 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-22 + 2x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-22 + 2x = -16 + 0
-22 + 2x = -16

Add '22' to each side of the equation.
-22 + 22 + 2x = -16 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -16 + 22
2x = -16 + 22

Combine like terms: -16 + 22 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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