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

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


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

Multiply 2 * 10
2x + 20 = 10 + 4(x + -10)

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

Reorder the terms:
20 + 2x = 10 + 4(-10 + x)
20 + 2x = 10 + (-10 * 4 + x * 4)
20 + 2x = 10 + (-40 + 4x)

Combine like terms: 10 + -40 = -30
20 + 2x = -30 + 4x

Solving
20 + 2x = -30 + 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.
20 + 2x + -4x = -30 + 4x + -4x

Combine like terms: 2x + -4x = -2x
20 + -2x = -30 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -2x = -30 + 0
20 + -2x = -30

Add '-20' to each side of the equation.
20 + -20 + -2x = -30 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -30 + -20
-2x = -30 + -20

Combine like terms: -30 + -20 = -50
-2x = -50

Divide each side by '-2'.
x = 25

Simplifying
x = 25

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