5x-3(x-3)=-9+4x+10

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Solution for 5x-3(x-3)=-9+4x+10 equation:


Simplifying
5x + -3(x + -3) = -9 + 4x + 10

Reorder the terms:
5x + -3(-3 + x) = -9 + 4x + 10
5x + (-3 * -3 + x * -3) = -9 + 4x + 10
5x + (9 + -3x) = -9 + 4x + 10

Reorder the terms:
9 + 5x + -3x = -9 + 4x + 10

Combine like terms: 5x + -3x = 2x
9 + 2x = -9 + 4x + 10

Reorder the terms:
9 + 2x = -9 + 10 + 4x

Combine like terms: -9 + 10 = 1
9 + 2x = 1 + 4x

Solving
9 + 2x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 2x + -4x = 1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
9 + -2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -2x = 1 + 0
9 + -2x = 1

Add '-9' to each side of the equation.
9 + -9 + -2x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 1 + -9
-2x = 1 + -9

Combine like terms: 1 + -9 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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