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

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


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

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

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

Combine like terms: -6 + 7 = 1
1 + 2x = 11 + -3(x + -2)

Reorder the terms:
1 + 2x = 11 + -3(-2 + x)
1 + 2x = 11 + (-2 * -3 + x * -3)
1 + 2x = 11 + (6 + -3x)

Combine like terms: 11 + 6 = 17
1 + 2x = 17 + -3x

Solving
1 + 2x = 17 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 2x + 3x = 17 + -3x + 3x

Combine like terms: 2x + 3x = 5x
1 + 5x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 5x = 17 + 0
1 + 5x = 17

Add '-1' to each side of the equation.
1 + -1 + 5x = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 17 + -1
5x = 17 + -1

Combine like terms: 17 + -1 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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