4(x+3)-1=5(x-4)+21

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Solution for 4(x+3)-1=5(x-4)+21 equation: 


Simplifying
4(x + 3) + -1 = 5(x + -4) + 21

Reorder the terms:
4(3 + x) + -1 = 5(x + -4) + 21
(3 * 4 + x * 4) + -1 = 5(x + -4) + 21
(12 + 4x) + -1 = 5(x + -4) + 21

Reorder the terms:
12 + -1 + 4x = 5(x + -4) + 21

Combine like terms: 12 + -1 = 11
11 + 4x = 5(x + -4) + 21

Reorder the terms:
11 + 4x = 5(-4 + x) + 21
11 + 4x = (-4 * 5 + x * 5) + 21
11 + 4x = (-20 + 5x) + 21

Reorder the terms:
11 + 4x = -20 + 21 + 5x

Combine like terms: -20 + 21 = 1
11 + 4x = 1 + 5x

Solving
11 + 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.
11 + 4x + -5x = 1 + 5x + -5x

Combine like terms: 4x + -5x = -1x
11 + -1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -1x = 1 + 0
11 + -1x = 1

Add '-11' to each side of the equation.
11 + -11 + -1x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 1 + -11
-1x = 1 + -11

Combine like terms: 1 + -11 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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