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

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


Simplifying
2(3 + -1x) + 5(2x + -3) = 3 + -4
(3 * 2 + -1x * 2) + 5(2x + -3) = 3 + -4
(6 + -2x) + 5(2x + -3) = 3 + -4

Reorder the terms:
6 + -2x + 5(-3 + 2x) = 3 + -4
6 + -2x + (-3 * 5 + 2x * 5) = 3 + -4
6 + -2x + (-15 + 10x) = 3 + -4

Reorder the terms:
6 + -15 + -2x + 10x = 3 + -4

Combine like terms: 6 + -15 = -9
-9 + -2x + 10x = 3 + -4

Combine like terms: -2x + 10x = 8x
-9 + 8x = 3 + -4

Combine like terms: 3 + -4 = -1
-9 + 8x = -1

Solving
-9 + 8x = -1

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 8x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = -1 + 9
8x = -1 + 9

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

Divide each side by '8'.
x = 1

Simplifying
x = 1

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