4(x+8)-2(x-5)=19+3x

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Solution for 4(x+8)-2(x-5)=19+3x equation: 


Simplifying
4(x + 8) + -2(x + -5) = 19 + 3x

Reorder the terms:
4(8 + x) + -2(x + -5) = 19 + 3x
(8 * 4 + x * 4) + -2(x + -5) = 19 + 3x
(32 + 4x) + -2(x + -5) = 19 + 3x

Reorder the terms:
32 + 4x + -2(-5 + x) = 19 + 3x
32 + 4x + (-5 * -2 + x * -2) = 19 + 3x
32 + 4x + (10 + -2x) = 19 + 3x

Reorder the terms:
32 + 10 + 4x + -2x = 19 + 3x

Combine like terms: 32 + 10 = 42
42 + 4x + -2x = 19 + 3x

Combine like terms: 4x + -2x = 2x
42 + 2x = 19 + 3x

Solving
42 + 2x = 19 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
42 + 2x + -3x = 19 + 3x + -3x

Combine like terms: 2x + -3x = -1x
42 + -1x = 19 + 3x + -3x

Combine like terms: 3x + -3x = 0
42 + -1x = 19 + 0
42 + -1x = 19

Add '-42' to each side of the equation.
42 + -42 + -1x = 19 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 19 + -42
-1x = 19 + -42

Combine like terms: 19 + -42 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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