7+2x=11-2(x-3)

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Solution for 7+2x=11-2(x-3) equation:


Simplifying
7 + 2x = 11 + -2(x + -3)

Reorder the terms:
7 + 2x = 11 + -2(-3 + x)
7 + 2x = 11 + (-3 * -2 + x * -2)
7 + 2x = 11 + (6 + -2x)

Combine like terms: 11 + 6 = 17
7 + 2x = 17 + -2x

Solving
7 + 2x = 17 + -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.
7 + 2x + 2x = 17 + -2x + 2x

Combine like terms: 2x + 2x = 4x
7 + 4x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 4x = 17 + 0
7 + 4x = 17

Add '-7' to each side of the equation.
7 + -7 + 4x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 17 + -7
4x = 17 + -7

Combine like terms: 17 + -7 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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