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

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


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

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

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

Combine like terms: 8 + -1 = 7
7 + 2x = 3 + 4(x + -1)

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

Combine like terms: 3 + -4 = -1
7 + 2x = -1 + 4x

Solving
7 + 2x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 2x + -4x = -1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
7 + -2x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -2x = -1 + 0
7 + -2x = -1

Add '-7' to each side of the equation.
7 + -7 + -2x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -1 + -7
-2x = -1 + -7

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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