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

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


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

Reorder the terms:
2(3 + 4x) + 1 = 3(x + -1) + 2
(3 * 2 + 4x * 2) + 1 = 3(x + -1) + 2
(6 + 8x) + 1 = 3(x + -1) + 2

Reorder the terms:
6 + 1 + 8x = 3(x + -1) + 2

Combine like terms: 6 + 1 = 7
7 + 8x = 3(x + -1) + 2

Reorder the terms:
7 + 8x = 3(-1 + x) + 2
7 + 8x = (-1 * 3 + x * 3) + 2
7 + 8x = (-3 + 3x) + 2

Reorder the terms:
7 + 8x = -3 + 2 + 3x

Combine like terms: -3 + 2 = -1
7 + 8x = -1 + 3x

Solving
7 + 8x = -1 + 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.
7 + 8x + -3x = -1 + 3x + -3x

Combine like terms: 8x + -3x = 5x
7 + 5x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 5x = -1 + 0
7 + 5x = -1

Add '-7' to each side of the equation.
7 + -7 + 5x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = -1 + -7
5x = -1 + -7

Combine like terms: -1 + -7 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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