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

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


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

Reorder the terms:
5(4 + x) + -1(2x + -3) = 1
(4 * 5 + x * 5) + -1(2x + -3) = 1
(20 + 5x) + -1(2x + -3) = 1

Reorder the terms:
20 + 5x + -1(-3 + 2x) = 1
20 + 5x + (-3 * -1 + 2x * -1) = 1
20 + 5x + (3 + -2x) = 1

Reorder the terms:
20 + 3 + 5x + -2x = 1

Combine like terms: 20 + 3 = 23
23 + 5x + -2x = 1

Combine like terms: 5x + -2x = 3x
23 + 3x = 1

Solving
23 + 3x = 1

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 3x = 1 + -23

Combine like terms: 23 + -23 = 0
0 + 3x = 1 + -23
3x = 1 + -23

Combine like terms: 1 + -23 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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