3(x+11)-1=2(x+50)

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Solution for 3(x+11)-1=2(x+50) equation:


Simplifying
3(x + 11) + -1 = 2(x + 50)

Reorder the terms:
3(11 + x) + -1 = 2(x + 50)
(11 * 3 + x * 3) + -1 = 2(x + 50)
(33 + 3x) + -1 = 2(x + 50)

Reorder the terms:
33 + -1 + 3x = 2(x + 50)

Combine like terms: 33 + -1 = 32
32 + 3x = 2(x + 50)

Reorder the terms:
32 + 3x = 2(50 + x)
32 + 3x = (50 * 2 + x * 2)
32 + 3x = (100 + 2x)

Solving
32 + 3x = 100 + 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.
32 + 3x + -2x = 100 + 2x + -2x

Combine like terms: 3x + -2x = 1x
32 + 1x = 100 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + 1x = 100 + 0
32 + 1x = 100

Add '-32' to each side of the equation.
32 + -32 + 1x = 100 + -32

Combine like terms: 32 + -32 = 0
0 + 1x = 100 + -32
1x = 100 + -32

Combine like terms: 100 + -32 = 68
1x = 68

Divide each side by '1'.
x = 68

Simplifying
x = 68

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