3(x+1)+5x=12-(6x-7)

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Solution for 3(x+1)+5x=12-(6x-7) equation:


Simplifying
3(x + 1) + 5x = 12 + -1(6x + -7)

Reorder the terms:
3(1 + x) + 5x = 12 + -1(6x + -7)
(1 * 3 + x * 3) + 5x = 12 + -1(6x + -7)
(3 + 3x) + 5x = 12 + -1(6x + -7)

Combine like terms: 3x + 5x = 8x
3 + 8x = 12 + -1(6x + -7)

Reorder the terms:
3 + 8x = 12 + -1(-7 + 6x)
3 + 8x = 12 + (-7 * -1 + 6x * -1)
3 + 8x = 12 + (7 + -6x)

Combine like terms: 12 + 7 = 19
3 + 8x = 19 + -6x

Solving
3 + 8x = 19 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + 8x + 6x = 19 + -6x + 6x

Combine like terms: 8x + 6x = 14x
3 + 14x = 19 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 14x = 19 + 0
3 + 14x = 19

Add '-3' to each side of the equation.
3 + -3 + 14x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 19 + -3
14x = 19 + -3

Combine like terms: 19 + -3 = 16
14x = 16

Divide each side by '14'.
x = 1.142857143

Simplifying
x = 1.142857143

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