x+3(2x+1)=2x+8

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Solution for x+3(2x+1)=2x+8 equation:


Simplifying
x + 3(2x + 1) = 2x + 8

Reorder the terms:
x + 3(1 + 2x) = 2x + 8
x + (1 * 3 + 2x * 3) = 2x + 8
x + (3 + 6x) = 2x + 8

Reorder the terms:
3 + x + 6x = 2x + 8

Combine like terms: x + 6x = 7x
3 + 7x = 2x + 8

Reorder the terms:
3 + 7x = 8 + 2x

Solving
3 + 7x = 8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
3 + 7x + -2x = 8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
3 + 5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 5x = 8 + 0
3 + 5x = 8

Add '-3' to each side of the equation.
3 + -3 + 5x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 8 + -3
5x = 8 + -3

Combine like terms: 8 + -3 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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