4x-3(3x-4)=-38

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Solution for 4x-3(3x-4)=-38 equation:


Simplifying
4x + -3(3x + -4) = -38

Reorder the terms:
4x + -3(-4 + 3x) = -38
4x + (-4 * -3 + 3x * -3) = -38
4x + (12 + -9x) = -38

Reorder the terms:
12 + 4x + -9x = -38

Combine like terms: 4x + -9x = -5x
12 + -5x = -38

Solving
12 + -5x = -38

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -5x = -38 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -38 + -12
-5x = -38 + -12

Combine like terms: -38 + -12 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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