-5x-8(x-5)=6-3x

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Solution for -5x-8(x-5)=6-3x equation:


Simplifying
-5x + -8(x + -5) = 6 + -3x

Reorder the terms:
-5x + -8(-5 + x) = 6 + -3x
-5x + (-5 * -8 + x * -8) = 6 + -3x
-5x + (40 + -8x) = 6 + -3x

Reorder the terms:
40 + -5x + -8x = 6 + -3x

Combine like terms: -5x + -8x = -13x
40 + -13x = 6 + -3x

Solving
40 + -13x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
40 + -13x + 3x = 6 + -3x + 3x

Combine like terms: -13x + 3x = -10x
40 + -10x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
40 + -10x = 6 + 0
40 + -10x = 6

Add '-40' to each side of the equation.
40 + -40 + -10x = 6 + -40

Combine like terms: 40 + -40 = 0
0 + -10x = 6 + -40
-10x = 6 + -40

Combine like terms: 6 + -40 = -34
-10x = -34

Divide each side by '-10'.
x = 3.4

Simplifying
x = 3.4

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