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

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


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

Reorder the terms:
7(-2 + x) = 2(x + -4)
(-2 * 7 + x * 7) = 2(x + -4)
(-14 + 7x) = 2(x + -4)

Reorder the terms:
-14 + 7x = 2(-4 + x)
-14 + 7x = (-4 * 2 + x * 2)
-14 + 7x = (-8 + 2x)

Solving
-14 + 7x = -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.
-14 + 7x + -2x = -8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-14 + 5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 5x = -8 + 0
-14 + 5x = -8

Add '14' to each side of the equation.
-14 + 14 + 5x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = -8 + 14
5x = -8 + 14

Combine like terms: -8 + 14 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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