4(x+4)-1=5(x-4)+21

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Solution for 4(x+4)-1=5(x-4)+21 equation:


Simplifying
4(x + 4) + -1 = 5(x + -4) + 21

Reorder the terms:
4(4 + x) + -1 = 5(x + -4) + 21
(4 * 4 + x * 4) + -1 = 5(x + -4) + 21
(16 + 4x) + -1 = 5(x + -4) + 21

Reorder the terms:
16 + -1 + 4x = 5(x + -4) + 21

Combine like terms: 16 + -1 = 15
15 + 4x = 5(x + -4) + 21

Reorder the terms:
15 + 4x = 5(-4 + x) + 21
15 + 4x = (-4 * 5 + x * 5) + 21
15 + 4x = (-20 + 5x) + 21

Reorder the terms:
15 + 4x = -20 + 21 + 5x

Combine like terms: -20 + 21 = 1
15 + 4x = 1 + 5x

Solving
15 + 4x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + 4x + -5x = 1 + 5x + -5x

Combine like terms: 4x + -5x = -1x
15 + -1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -1x = 1 + 0
15 + -1x = 1

Add '-15' to each side of the equation.
15 + -15 + -1x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 1 + -15
-1x = 1 + -15

Combine like terms: 1 + -15 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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