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

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


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

Reorder the terms:
4(4 + x) + -1 = 3(2x + -7)
(4 * 4 + x * 4) + -1 = 3(2x + -7)
(16 + 4x) + -1 = 3(2x + -7)

Reorder the terms:
16 + -1 + 4x = 3(2x + -7)

Combine like terms: 16 + -1 = 15
15 + 4x = 3(2x + -7)

Reorder the terms:
15 + 4x = 3(-7 + 2x)
15 + 4x = (-7 * 3 + 2x * 3)
15 + 4x = (-21 + 6x)

Solving
15 + 4x = -21 + 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.
15 + 4x + -6x = -21 + 6x + -6x

Combine like terms: 4x + -6x = -2x
15 + -2x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -2x = -21 + 0
15 + -2x = -21

Add '-15' to each side of the equation.
15 + -15 + -2x = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -21 + -15
-2x = -21 + -15

Combine like terms: -21 + -15 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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