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

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


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

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

Reorder the terms:
16 + 4x = 3(-2 + x) + 1
16 + 4x = (-2 * 3 + x * 3) + 1
16 + 4x = (-6 + 3x) + 1

Reorder the terms:
16 + 4x = -6 + 1 + 3x

Combine like terms: -6 + 1 = -5
16 + 4x = -5 + 3x

Solving
16 + 4x = -5 + 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.
16 + 4x + -3x = -5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
16 + 1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 1x = -5 + 0
16 + 1x = -5

Add '-16' to each side of the equation.
16 + -16 + 1x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = -5 + -16
1x = -5 + -16

Combine like terms: -5 + -16 = -21
1x = -21

Divide each side by '1'.
x = -21

Simplifying
x = -21

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