10(x-5)-5(x+3)=-x+1

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Solution for 10(x-5)-5(x+3)=-x+1 equation:


Simplifying
10(x + -5) + -5(x + 3) = -1x + 1

Reorder the terms:
10(-5 + x) + -5(x + 3) = -1x + 1
(-5 * 10 + x * 10) + -5(x + 3) = -1x + 1
(-50 + 10x) + -5(x + 3) = -1x + 1

Reorder the terms:
-50 + 10x + -5(3 + x) = -1x + 1
-50 + 10x + (3 * -5 + x * -5) = -1x + 1
-50 + 10x + (-15 + -5x) = -1x + 1

Reorder the terms:
-50 + -15 + 10x + -5x = -1x + 1

Combine like terms: -50 + -15 = -65
-65 + 10x + -5x = -1x + 1

Combine like terms: 10x + -5x = 5x
-65 + 5x = -1x + 1

Reorder the terms:
-65 + 5x = 1 + -1x

Solving
-65 + 5x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-65 + 5x + x = 1 + -1x + x

Combine like terms: 5x + x = 6x
-65 + 6x = 1 + -1x + x

Combine like terms: -1x + x = 0
-65 + 6x = 1 + 0
-65 + 6x = 1

Add '65' to each side of the equation.
-65 + 65 + 6x = 1 + 65

Combine like terms: -65 + 65 = 0
0 + 6x = 1 + 65
6x = 1 + 65

Combine like terms: 1 + 65 = 66
6x = 66

Divide each side by '6'.
x = 11

Simplifying
x = 11

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