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

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


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

Reorder the terms:
10x + -3(4 + x) = 4x + 9
10x + (4 * -3 + x * -3) = 4x + 9
10x + (-12 + -3x) = 4x + 9

Reorder the terms:
-12 + 10x + -3x = 4x + 9

Combine like terms: 10x + -3x = 7x
-12 + 7x = 4x + 9

Reorder the terms:
-12 + 7x = 9 + 4x

Solving
-12 + 7x = 9 + 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.
-12 + 7x + -4x = 9 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-12 + 3x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 3x = 9 + 0
-12 + 3x = 9

Add '12' to each side of the equation.
-12 + 12 + 3x = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 9 + 12
3x = 9 + 12

Combine like terms: 9 + 12 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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