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

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


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

Reorder the terms:
5(-3 + x) + 4(2x + -2) = 5x + -1(3x + 5)
(-3 * 5 + x * 5) + 4(2x + -2) = 5x + -1(3x + 5)
(-15 + 5x) + 4(2x + -2) = 5x + -1(3x + 5)

Reorder the terms:
-15 + 5x + 4(-2 + 2x) = 5x + -1(3x + 5)
-15 + 5x + (-2 * 4 + 2x * 4) = 5x + -1(3x + 5)
-15 + 5x + (-8 + 8x) = 5x + -1(3x + 5)

Reorder the terms:
-15 + -8 + 5x + 8x = 5x + -1(3x + 5)

Combine like terms: -15 + -8 = -23
-23 + 5x + 8x = 5x + -1(3x + 5)

Combine like terms: 5x + 8x = 13x
-23 + 13x = 5x + -1(3x + 5)

Reorder the terms:
-23 + 13x = 5x + -1(5 + 3x)
-23 + 13x = 5x + (5 * -1 + 3x * -1)
-23 + 13x = 5x + (-5 + -3x)

Reorder the terms:
-23 + 13x = -5 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-23 + 13x = -5 + 2x

Solving
-23 + 13x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-23 + 13x + -2x = -5 + 2x + -2x

Combine like terms: 13x + -2x = 11x
-23 + 11x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-23 + 11x = -5 + 0
-23 + 11x = -5

Add '23' to each side of the equation.
-23 + 23 + 11x = -5 + 23

Combine like terms: -23 + 23 = 0
0 + 11x = -5 + 23
11x = -5 + 23

Combine like terms: -5 + 23 = 18
11x = 18

Divide each side by '11'.
x = 1.636363636

Simplifying
x = 1.636363636

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