3(4x+7)-1=5-(2x-3)

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Solution for 3(4x+7)-1=5-(2x-3) equation:


Simplifying
3(4x + 7) + -1 = 5 + -1(2x + -3)

Reorder the terms:
3(7 + 4x) + -1 = 5 + -1(2x + -3)
(7 * 3 + 4x * 3) + -1 = 5 + -1(2x + -3)
(21 + 12x) + -1 = 5 + -1(2x + -3)

Reorder the terms:
21 + -1 + 12x = 5 + -1(2x + -3)

Combine like terms: 21 + -1 = 20
20 + 12x = 5 + -1(2x + -3)

Reorder the terms:
20 + 12x = 5 + -1(-3 + 2x)
20 + 12x = 5 + (-3 * -1 + 2x * -1)
20 + 12x = 5 + (3 + -2x)

Combine like terms: 5 + 3 = 8
20 + 12x = 8 + -2x

Solving
20 + 12x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
20 + 12x + 2x = 8 + -2x + 2x

Combine like terms: 12x + 2x = 14x
20 + 14x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 14x = 8 + 0
20 + 14x = 8

Add '-20' to each side of the equation.
20 + -20 + 14x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 14x = 8 + -20
14x = 8 + -20

Combine like terms: 8 + -20 = -12
14x = -12

Divide each side by '14'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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