2x+(x-3)=4(x-5)

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Solution for 2x+(x-3)=4(x-5) equation:


Simplifying
2x + (x + -3) = 4(x + -5)

Reorder the terms:
2x + (-3 + x) = 4(x + -5)

Remove parenthesis around (-3 + x)
2x + -3 + x = 4(x + -5)

Reorder the terms:
-3 + 2x + x = 4(x + -5)

Combine like terms: 2x + x = 3x
-3 + 3x = 4(x + -5)

Reorder the terms:
-3 + 3x = 4(-5 + x)
-3 + 3x = (-5 * 4 + x * 4)
-3 + 3x = (-20 + 4x)

Solving
-3 + 3x = -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.
-3 + 3x + -4x = -20 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-3 + -1x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -1x = -20 + 0
-3 + -1x = -20

Add '3' to each side of the equation.
-3 + 3 + -1x = -20 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -20 + 3
-1x = -20 + 3

Combine like terms: -20 + 3 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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