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

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


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

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

Reorder the terms:
-9 + -3x = x + -5 + 2(2 + 5x)
-9 + -3x = x + -5 + (2 * 2 + 5x * 2)
-9 + -3x = x + -5 + (4 + 10x)

Reorder the terms:
-9 + -3x = -5 + 4 + x + 10x

Combine like terms: -5 + 4 = -1
-9 + -3x = -1 + x + 10x

Combine like terms: x + 10x = 11x
-9 + -3x = -1 + 11x

Solving
-9 + -3x = -1 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-9 + -3x + -11x = -1 + 11x + -11x

Combine like terms: -3x + -11x = -14x
-9 + -14x = -1 + 11x + -11x

Combine like terms: 11x + -11x = 0
-9 + -14x = -1 + 0
-9 + -14x = -1

Add '9' to each side of the equation.
-9 + 9 + -14x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + -14x = -1 + 9
-14x = -1 + 9

Combine like terms: -1 + 9 = 8
-14x = 8

Divide each side by '-14'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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