4-3(2x+5)=x-2(3-x)

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Solution for 4-3(2x+5)=x-2(3-x) equation:


Simplifying
4 + -3(2x + 5) = x + -2(3 + -1x)

Reorder the terms:
4 + -3(5 + 2x) = x + -2(3 + -1x)
4 + (5 * -3 + 2x * -3) = x + -2(3 + -1x)
4 + (-15 + -6x) = x + -2(3 + -1x)

Combine like terms: 4 + -15 = -11
-11 + -6x = x + -2(3 + -1x)
-11 + -6x = x + (3 * -2 + -1x * -2)
-11 + -6x = x + (-6 + 2x)

Reorder the terms:
-11 + -6x = -6 + x + 2x

Combine like terms: x + 2x = 3x
-11 + -6x = -6 + 3x

Solving
-11 + -6x = -6 + 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.
-11 + -6x + -3x = -6 + 3x + -3x

Combine like terms: -6x + -3x = -9x
-11 + -9x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + -9x = -6 + 0
-11 + -9x = -6

Add '11' to each side of the equation.
-11 + 11 + -9x = -6 + 11

Combine like terms: -11 + 11 = 0
0 + -9x = -6 + 11
-9x = -6 + 11

Combine like terms: -6 + 11 = 5
-9x = 5

Divide each side by '-9'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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