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

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


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

Reorder the terms:
5(-3 + x) + 4(x + 3) = (x + -1)
(-3 * 5 + x * 5) + 4(x + 3) = (x + -1)
(-15 + 5x) + 4(x + 3) = (x + -1)

Reorder the terms:
-15 + 5x + 4(3 + x) = (x + -1)
-15 + 5x + (3 * 4 + x * 4) = (x + -1)
-15 + 5x + (12 + 4x) = (x + -1)

Reorder the terms:
-15 + 12 + 5x + 4x = (x + -1)

Combine like terms: -15 + 12 = -3
-3 + 5x + 4x = (x + -1)

Combine like terms: 5x + 4x = 9x
-3 + 9x = (x + -1)

Reorder the terms:
-3 + 9x = (-1 + x)

Remove parenthesis around (-1 + x)
-3 + 9x = -1 + x

Solving
-3 + 9x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 9x + -1x = -1 + x + -1x

Combine like terms: 9x + -1x = 8x
-3 + 8x = -1 + x + -1x

Combine like terms: x + -1x = 0
-3 + 8x = -1 + 0
-3 + 8x = -1

Add '3' to each side of the equation.
-3 + 3 + 8x = -1 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = -1 + 3
8x = -1 + 3

Combine like terms: -1 + 3 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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