-4x+9(x-3)=10x+2

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Solution for -4x+9(x-3)=10x+2 equation:


Simplifying
-4x + 9(x + -3) = 10x + 2

Reorder the terms:
-4x + 9(-3 + x) = 10x + 2
-4x + (-3 * 9 + x * 9) = 10x + 2
-4x + (-27 + 9x) = 10x + 2

Reorder the terms:
-27 + -4x + 9x = 10x + 2

Combine like terms: -4x + 9x = 5x
-27 + 5x = 10x + 2

Reorder the terms:
-27 + 5x = 2 + 10x

Solving
-27 + 5x = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-27 + 5x + -10x = 2 + 10x + -10x

Combine like terms: 5x + -10x = -5x
-27 + -5x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-27 + -5x = 2 + 0
-27 + -5x = 2

Add '27' to each side of the equation.
-27 + 27 + -5x = 2 + 27

Combine like terms: -27 + 27 = 0
0 + -5x = 2 + 27
-5x = 2 + 27

Combine like terms: 2 + 27 = 29
-5x = 29

Divide each side by '-5'.
x = -5.8

Simplifying
x = -5.8

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