5(x-8)-7=-5(-3x+9)-2x

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Solution for 5(x-8)-7=-5(-3x+9)-2x equation:


Simplifying
5(x + -8) + -7 = -5(-3x + 9) + -2x

Reorder the terms:
5(-8 + x) + -7 = -5(-3x + 9) + -2x
(-8 * 5 + x * 5) + -7 = -5(-3x + 9) + -2x
(-40 + 5x) + -7 = -5(-3x + 9) + -2x

Reorder the terms:
-40 + -7 + 5x = -5(-3x + 9) + -2x

Combine like terms: -40 + -7 = -47
-47 + 5x = -5(-3x + 9) + -2x

Reorder the terms:
-47 + 5x = -5(9 + -3x) + -2x
-47 + 5x = (9 * -5 + -3x * -5) + -2x
-47 + 5x = (-45 + 15x) + -2x

Combine like terms: 15x + -2x = 13x
-47 + 5x = -45 + 13x

Solving
-47 + 5x = -45 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-47 + 5x + -13x = -45 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-47 + -8x = -45 + 13x + -13x

Combine like terms: 13x + -13x = 0
-47 + -8x = -45 + 0
-47 + -8x = -45

Add '47' to each side of the equation.
-47 + 47 + -8x = -45 + 47

Combine like terms: -47 + 47 = 0
0 + -8x = -45 + 47
-8x = -45 + 47

Combine like terms: -45 + 47 = 2
-8x = 2

Divide each side by '-8'.
x = -0.25

Simplifying
x = -0.25

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