16-3(x+1)=7-2(x+2)

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Solution for 16-3(x+1)=7-2(x+2) equation: 


Simplifying
16 + -3(x + 1) = 7 + -2(x + 2)

Reorder the terms:
16 + -3(1 + x) = 7 + -2(x + 2)
16 + (1 * -3 + x * -3) = 7 + -2(x + 2)
16 + (-3 + -3x) = 7 + -2(x + 2)

Combine like terms: 16 + -3 = 13
13 + -3x = 7 + -2(x + 2)

Reorder the terms:
13 + -3x = 7 + -2(2 + x)
13 + -3x = 7 + (2 * -2 + x * -2)
13 + -3x = 7 + (-4 + -2x)

Combine like terms: 7 + -4 = 3
13 + -3x = 3 + -2x

Solving
13 + -3x = 3 + -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.
13 + -3x + 2x = 3 + -2x + 2x

Combine like terms: -3x + 2x = -1x
13 + -1x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + -1x = 3 + 0
13 + -1x = 3

Add '-13' to each side of the equation.
13 + -13 + -1x = 3 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 3 + -13
-1x = 3 + -13

Combine like terms: 3 + -13 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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