19-(2x+3)=2(x+5)

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Solution for 19-(2x+3)=2(x+5) equation:


Simplifying
19 + -1(2x + 3) = 2(x + 5)

Reorder the terms:
19 + -1(3 + 2x) = 2(x + 5)
19 + (3 * -1 + 2x * -1) = 2(x + 5)
19 + (-3 + -2x) = 2(x + 5)

Combine like terms: 19 + -3 = 16
16 + -2x = 2(x + 5)

Reorder the terms:
16 + -2x = 2(5 + x)
16 + -2x = (5 * 2 + x * 2)
16 + -2x = (10 + 2x)

Solving
16 + -2x = 10 + 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 = 10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
16 + -4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -4x = 10 + 0
16 + -4x = 10

Add '-16' to each side of the equation.
16 + -16 + -4x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 10 + -16
-4x = 10 + -16

Combine like terms: 10 + -16 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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