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

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


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

Reorder the terms:
2(-5 + x) = -3 + -3(2 + -3x)
(-5 * 2 + x * 2) = -3 + -3(2 + -3x)
(-10 + 2x) = -3 + -3(2 + -3x)
-10 + 2x = -3 + (2 * -3 + -3x * -3)
-10 + 2x = -3 + (-6 + 9x)

Combine like terms: -3 + -6 = -9
-10 + 2x = -9 + 9x

Solving
-10 + 2x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-10 + 2x + -9x = -9 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-10 + -7x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
-10 + -7x = -9 + 0
-10 + -7x = -9

Add '10' to each side of the equation.
-10 + 10 + -7x = -9 + 10

Combine like terms: -10 + 10 = 0
0 + -7x = -9 + 10
-7x = -9 + 10

Combine like terms: -9 + 10 = 1
-7x = 1

Divide each side by '-7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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