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

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


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

Reorder the terms:
2x + -10(-3 + x) = 3x + 5
2x + (-3 * -10 + x * -10) = 3x + 5
2x + (30 + -10x) = 3x + 5

Reorder the terms:
30 + 2x + -10x = 3x + 5

Combine like terms: 2x + -10x = -8x
30 + -8x = 3x + 5

Reorder the terms:
30 + -8x = 5 + 3x

Solving
30 + -8x = 5 + 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.
30 + -8x + -3x = 5 + 3x + -3x

Combine like terms: -8x + -3x = -11x
30 + -11x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -11x = 5 + 0
30 + -11x = 5

Add '-30' to each side of the equation.
30 + -30 + -11x = 5 + -30

Combine like terms: 30 + -30 = 0
0 + -11x = 5 + -30
-11x = 5 + -30

Combine like terms: 5 + -30 = -25
-11x = -25

Divide each side by '-11'.
x = 2.272727273

Simplifying
x = 2.272727273

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