3(2x+3)-4(x-1)=16

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Solution for 3(2x+3)-4(x-1)=16 equation:


Simplifying
3(2x + 3) + -4(x + -1) = 16

Reorder the terms:
3(3 + 2x) + -4(x + -1) = 16
(3 * 3 + 2x * 3) + -4(x + -1) = 16
(9 + 6x) + -4(x + -1) = 16

Reorder the terms:
9 + 6x + -4(-1 + x) = 16
9 + 6x + (-1 * -4 + x * -4) = 16
9 + 6x + (4 + -4x) = 16

Reorder the terms:
9 + 4 + 6x + -4x = 16

Combine like terms: 9 + 4 = 13
13 + 6x + -4x = 16

Combine like terms: 6x + -4x = 2x
13 + 2x = 16

Solving
13 + 2x = 16

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 16 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 16 + -13
2x = 16 + -13

Combine like terms: 16 + -13 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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