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

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


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

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

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

Combine like terms: 5 + 4 = 9
9 + -2x = 3(x + -2)

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

Solving
9 + -2x = -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.
9 + -2x + -3x = -6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
9 + -5x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -5x = -6 + 0
9 + -5x = -6

Add '-9' to each side of the equation.
9 + -9 + -5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -6 + -9
-5x = -6 + -9

Combine like terms: -6 + -9 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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