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

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


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

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

Remove parenthesis around (-3 + 2x)
-3 + 2x + 4 = -5x + 2(3x + 5)

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

Combine like terms: -3 + 4 = 1
1 + 2x = -5x + 2(3x + 5)

Reorder the terms:
1 + 2x = -5x + 2(5 + 3x)
1 + 2x = -5x + (5 * 2 + 3x * 2)
1 + 2x = -5x + (10 + 6x)

Reorder the terms:
1 + 2x = 10 + -5x + 6x

Combine like terms: -5x + 6x = 1x
1 + 2x = 10 + 1x

Solving
1 + 2x = 10 + 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.
1 + 2x + -1x = 10 + 1x + -1x

Combine like terms: 2x + -1x = 1x
1 + 1x = 10 + 1x + -1x

Combine like terms: 1x + -1x = 0
1 + 1x = 10 + 0
1 + 1x = 10

Add '-1' to each side of the equation.
1 + -1 + 1x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 10 + -1
1x = 10 + -1

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

Divide each side by '1'.
x = 9

Simplifying
x = 9

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