19-(2x+3)=2(x+3)+1

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Solution for 19-(2x+3)=2(x+3)+1 equation: 


Simplifying
19 + -1(2x + 3) = 2(x + 3) + 1

Reorder the terms:
19 + -1(3 + 2x) = 2(x + 3) + 1
19 + (3 * -1 + 2x * -1) = 2(x + 3) + 1
19 + (-3 + -2x) = 2(x + 3) + 1

Combine like terms: 19 + -3 = 16
16 + -2x = 2(x + 3) + 1

Reorder the terms:
16 + -2x = 2(3 + x) + 1
16 + -2x = (3 * 2 + x * 2) + 1
16 + -2x = (6 + 2x) + 1

Reorder the terms:
16 + -2x = 6 + 1 + 2x

Combine like terms: 6 + 1 = 7
16 + -2x = 7 + 2x

Solving
16 + -2x = 7 + 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.
16 + -2x + -2x = 7 + 2x + -2x

Combine like terms: -2x + -2x = -4x
16 + -4x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -4x = 7 + 0
16 + -4x = 7

Add '-16' to each side of the equation.
16 + -16 + -4x = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 7 + -16
-4x = 7 + -16

Combine like terms: 7 + -16 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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