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

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Solution for 2(x-3)-3(2-x)=5(x+1)-2(2x-1) equation:


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

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

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

Combine like terms: -6 + -6 = -12
-12 + 2x + 3x = 5(x + 1) + -2(2x + -1)

Combine like terms: 2x + 3x = 5x
-12 + 5x = 5(x + 1) + -2(2x + -1)

Reorder the terms:
-12 + 5x = 5(1 + x) + -2(2x + -1)
-12 + 5x = (1 * 5 + x * 5) + -2(2x + -1)
-12 + 5x = (5 + 5x) + -2(2x + -1)

Reorder the terms:
-12 + 5x = 5 + 5x + -2(-1 + 2x)
-12 + 5x = 5 + 5x + (-1 * -2 + 2x * -2)
-12 + 5x = 5 + 5x + (2 + -4x)

Reorder the terms:
-12 + 5x = 5 + 2 + 5x + -4x

Combine like terms: 5 + 2 = 7
-12 + 5x = 7 + 5x + -4x

Combine like terms: 5x + -4x = 1x
-12 + 5x = 7 + 1x

Solving
-12 + 5x = 7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 5x + -1x = 7 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-12 + 4x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-12 + 4x = 7 + 0
-12 + 4x = 7

Add '12' to each side of the equation.
-12 + 12 + 4x = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 7 + 12
4x = 7 + 12

Combine like terms: 7 + 12 = 19
4x = 19

Divide each side by '4'.
x = 4.75

Simplifying
x = 4.75

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