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

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


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

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

Reorder the terms:
10 + 2x = 4(10 + x)
10 + 2x = (10 * 4 + x * 4)
10 + 2x = (40 + 4x)

Solving
10 + 2x = 40 + 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 = 40 + 4x + -4x

Combine like terms: 2x + -4x = -2x
10 + -2x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -2x = 40 + 0
10 + -2x = 40

Add '-10' to each side of the equation.
10 + -10 + -2x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 40 + -10
-2x = 40 + -10

Combine like terms: 40 + -10 = 30
-2x = 30

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

Simplifying
x = -15

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