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

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


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

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

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

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

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

Combine like terms: 5x + -1x = 4x
23 + 4x = 5

Solving
23 + 4x = 5

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 + 4x = 5 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 5 + -23
4x = 5 + -23

Combine like terms: 5 + -23 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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