10+5(x-3)=2(1+2x)

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Solution for 10+5(x-3)=2(1+2x) equation:


Simplifying
10 + 5(x + -3) = 2(1 + 2x)

Reorder the terms:
10 + 5(-3 + x) = 2(1 + 2x)
10 + (-3 * 5 + x * 5) = 2(1 + 2x)
10 + (-15 + 5x) = 2(1 + 2x)

Combine like terms: 10 + -15 = -5
-5 + 5x = 2(1 + 2x)
-5 + 5x = (1 * 2 + 2x * 2)
-5 + 5x = (2 + 4x)

Solving
-5 + 5x = 2 + 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.
-5 + 5x + -4x = 2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-5 + 1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 1x = 2 + 0
-5 + 1x = 2

Add '5' to each side of the equation.
-5 + 5 + 1x = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 2 + 5
1x = 2 + 5

Combine like terms: 2 + 5 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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