13-4(5x+1)=3(7-5x)-15

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Solution for 13-4(5x+1)=3(7-5x)-15 equation:


Simplifying
13 + -4(5x + 1) = 3(7 + -5x) + -15

Reorder the terms:
13 + -4(1 + 5x) = 3(7 + -5x) + -15
13 + (1 * -4 + 5x * -4) = 3(7 + -5x) + -15
13 + (-4 + -20x) = 3(7 + -5x) + -15

Combine like terms: 13 + -4 = 9
9 + -20x = 3(7 + -5x) + -15
9 + -20x = (7 * 3 + -5x * 3) + -15
9 + -20x = (21 + -15x) + -15

Reorder the terms:
9 + -20x = 21 + -15 + -15x

Combine like terms: 21 + -15 = 6
9 + -20x = 6 + -15x

Solving
9 + -20x = 6 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
9 + -20x + 15x = 6 + -15x + 15x

Combine like terms: -20x + 15x = -5x
9 + -5x = 6 + -15x + 15x

Combine like terms: -15x + 15x = 0
9 + -5x = 6 + 0
9 + -5x = 6

Add '-9' to each side of the equation.
9 + -9 + -5x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 6 + -9
-5x = 6 + -9

Combine like terms: 6 + -9 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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