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

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


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

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

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

Combine like terms: -8 + 3 = -5
-5 + -5 + 2x = 3(x + 2) + -19

Combine like terms: -5 + -5 = -10
-10 + 2x = 3(x + 2) + -19

Reorder the terms:
-10 + 2x = 3(2 + x) + -19
-10 + 2x = (2 * 3 + x * 3) + -19
-10 + 2x = (6 + 3x) + -19

Reorder the terms:
-10 + 2x = 6 + -19 + 3x

Combine like terms: 6 + -19 = -13
-10 + 2x = -13 + 3x

Solving
-10 + 2x = -13 + 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.
-10 + 2x + -3x = -13 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = -13 + 0
-10 + -1x = -13

Add '10' to each side of the equation.
-10 + 10 + -1x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -13 + 10
-1x = -13 + 10

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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