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

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


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

Reorder the terms:
3(2 + x) = -4(5 + 4x) + 19
(2 * 3 + x * 3) = -4(5 + 4x) + 19
(6 + 3x) = -4(5 + 4x) + 19
6 + 3x = (5 * -4 + 4x * -4) + 19
6 + 3x = (-20 + -16x) + 19

Reorder the terms:
6 + 3x = -20 + 19 + -16x

Combine like terms: -20 + 19 = -1
6 + 3x = -1 + -16x

Solving
6 + 3x = -1 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
6 + 3x + 16x = -1 + -16x + 16x

Combine like terms: 3x + 16x = 19x
6 + 19x = -1 + -16x + 16x

Combine like terms: -16x + 16x = 0
6 + 19x = -1 + 0
6 + 19x = -1

Add '-6' to each side of the equation.
6 + -6 + 19x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 19x = -1 + -6
19x = -1 + -6

Combine like terms: -1 + -6 = -7
19x = -7

Divide each side by '19'.
x = -0.3684210526

Simplifying
x = -0.3684210526

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