(2x+10)=4(x-5)

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Solution for (2x+10)=4(x-5) equation:


Simplifying
(2x + 10) = 4(x + -5)

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

Remove parenthesis around (10 + 2x)
10 + 2x = 4(x + -5)

Reorder the terms:
10 + 2x = 4(-5 + x)
10 + 2x = (-5 * 4 + x * 4)
10 + 2x = (-20 + 4x)

Solving
10 + 2x = -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 + 2x + -4x = -20 + 4x + -4x

Combine like terms: 2x + -4x = -2x
10 + -2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -2x = -20 + 0
10 + -2x = -20

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

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

Combine like terms: -20 + -10 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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