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

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


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

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

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

Combine like terms: -8 + 19 = 11
11 + 4x = 3(x + 5)

Reorder the terms:
11 + 4x = 3(5 + x)
11 + 4x = (5 * 3 + x * 3)
11 + 4x = (15 + 3x)

Solving
11 + 4x = 15 + 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.
11 + 4x + -3x = 15 + 3x + -3x

Combine like terms: 4x + -3x = 1x
11 + 1x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 1x = 15 + 0
11 + 1x = 15

Add '-11' to each side of the equation.
11 + -11 + 1x = 15 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 15 + -11
1x = 15 + -11

Combine like terms: 15 + -11 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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