2(4x-5)=7x-4(x-5)

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Solution for 2(4x-5)=7x-4(x-5) equation:


Simplifying
2(4x + -5) = 7x + -4(x + -5)

Reorder the terms:
2(-5 + 4x) = 7x + -4(x + -5)
(-5 * 2 + 4x * 2) = 7x + -4(x + -5)
(-10 + 8x) = 7x + -4(x + -5)

Reorder the terms:
-10 + 8x = 7x + -4(-5 + x)
-10 + 8x = 7x + (-5 * -4 + x * -4)
-10 + 8x = 7x + (20 + -4x)

Reorder the terms:
-10 + 8x = 20 + 7x + -4x

Combine like terms: 7x + -4x = 3x
-10 + 8x = 20 + 3x

Solving
-10 + 8x = 20 + 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.
-10 + 8x + -3x = 20 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-10 + 5x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 5x = 20 + 0
-10 + 5x = 20

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

Combine like terms: -10 + 10 = 0
0 + 5x = 20 + 10
5x = 20 + 10

Combine like terms: 20 + 10 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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