5(x-4)=2x+5(x-2)

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Solution for 5(x-4)=2x+5(x-2) equation:


Simplifying
5(x + -4) = 2x + 5(x + -2)

Reorder the terms:
5(-4 + x) = 2x + 5(x + -2)
(-4 * 5 + x * 5) = 2x + 5(x + -2)
(-20 + 5x) = 2x + 5(x + -2)

Reorder the terms:
-20 + 5x = 2x + 5(-2 + x)
-20 + 5x = 2x + (-2 * 5 + x * 5)
-20 + 5x = 2x + (-10 + 5x)

Reorder the terms:
-20 + 5x = -10 + 2x + 5x

Combine like terms: 2x + 5x = 7x
-20 + 5x = -10 + 7x

Solving
-20 + 5x = -10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-20 + 5x + -7x = -10 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-20 + -2x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + -2x = -10 + 0
-20 + -2x = -10

Add '20' to each side of the equation.
-20 + 20 + -2x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = -10 + 20
-2x = -10 + 20

Combine like terms: -10 + 20 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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