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

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


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

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

Reorder the terms:
-8 + 2x = 4(-7 + x)
-8 + 2x = (-7 * 4 + x * 4)
-8 + 2x = (-28 + 4x)

Solving
-8 + 2x = -28 + 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.
-8 + 2x + -4x = -28 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-8 + -2x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -2x = -28 + 0
-8 + -2x = -28

Add '8' to each side of the equation.
-8 + 8 + -2x = -28 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -28 + 8
-2x = -28 + 8

Combine like terms: -28 + 8 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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