-5(x-5)=3(10-2)+10x

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Solution for -5(x-5)=3(10-2)+10x equation:


Simplifying
-5(x + -5) = 3(10 + -2) + 10x

Reorder the terms:
-5(-5 + x) = 3(10 + -2) + 10x
(-5 * -5 + x * -5) = 3(10 + -2) + 10x
(25 + -5x) = 3(10 + -2) + 10x

Combine like terms: 10 + -2 = 8
25 + -5x = 3(8) + 10x

Multiply 3 * 8
25 + -5x = 24 + 10x

Solving
25 + -5x = 24 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
25 + -5x + -10x = 24 + 10x + -10x

Combine like terms: -5x + -10x = -15x
25 + -15x = 24 + 10x + -10x

Combine like terms: 10x + -10x = 0
25 + -15x = 24 + 0
25 + -15x = 24

Add '-25' to each side of the equation.
25 + -25 + -15x = 24 + -25

Combine like terms: 25 + -25 = 0
0 + -15x = 24 + -25
-15x = 24 + -25

Combine like terms: 24 + -25 = -1
-15x = -1

Divide each side by '-15'.
x = 0.06666666667

Simplifying
x = 0.06666666667

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