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

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


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

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

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

Combine like terms: 5x + 2x = 7x
-10 + 7x = 4(x + -5)

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

Solving
-10 + 7x = -20 + 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.
-10 + 7x + -4x = -20 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-10 + 3x = -20 + 0
-10 + 3x = -20

Add '10' to each side of the equation.
-10 + 10 + 3x = -20 + 10

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

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

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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