(x+5)-2(4-3x)=5(x+4)-1

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Solution for (x+5)-2(4-3x)=5(x+4)-1 equation:


Simplifying
(x + 5) + -2(4 + -3x) = 5(x + 4) + -1

Reorder the terms:
(5 + x) + -2(4 + -3x) = 5(x + 4) + -1

Remove parenthesis around (5 + x)
5 + x + -2(4 + -3x) = 5(x + 4) + -1
5 + x + (4 * -2 + -3x * -2) = 5(x + 4) + -1
5 + x + (-8 + 6x) = 5(x + 4) + -1

Reorder the terms:
5 + -8 + x + 6x = 5(x + 4) + -1

Combine like terms: 5 + -8 = -3
-3 + x + 6x = 5(x + 4) + -1

Combine like terms: x + 6x = 7x
-3 + 7x = 5(x + 4) + -1

Reorder the terms:
-3 + 7x = 5(4 + x) + -1
-3 + 7x = (4 * 5 + x * 5) + -1
-3 + 7x = (20 + 5x) + -1

Reorder the terms:
-3 + 7x = 20 + -1 + 5x

Combine like terms: 20 + -1 = 19
-3 + 7x = 19 + 5x

Solving
-3 + 7x = 19 + 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.
-3 + 7x + -5x = 19 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-3 + 2x = 19 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 2x = 19 + 0
-3 + 2x = 19

Add '3' to each side of the equation.
-3 + 3 + 2x = 19 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 19 + 3
2x = 19 + 3

Combine like terms: 19 + 3 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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