2(x-3)+11=1(x+4)

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Solution for 2(x-3)+11=1(x+4) equation:


Simplifying
2(x + -3) + 11 = 1(x + 4)

Reorder the terms:
2(-3 + x) + 11 = 1(x + 4)
(-3 * 2 + x * 2) + 11 = 1(x + 4)
(-6 + 2x) + 11 = 1(x + 4)

Reorder the terms:
-6 + 11 + 2x = 1(x + 4)

Combine like terms: -6 + 11 = 5
5 + 2x = 1(x + 4)

Reorder the terms:
5 + 2x = 1(4 + x)
5 + 2x = (4 * 1 + x * 1)
5 + 2x = (4 + 1x)

Solving
5 + 2x = 4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 2x + -1x = 4 + 1x + -1x

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

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 4 + -5

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

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

Divide each side by '1'.
x = -1

Simplifying
x = -1

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