4(3x-10)=3(x-2)+12

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Solution for 4(3x-10)=3(x-2)+12 equation:


Simplifying
4(3x + -10) = 3(x + -2) + 12

Reorder the terms:
4(-10 + 3x) = 3(x + -2) + 12
(-10 * 4 + 3x * 4) = 3(x + -2) + 12
(-40 + 12x) = 3(x + -2) + 12

Reorder the terms:
-40 + 12x = 3(-2 + x) + 12
-40 + 12x = (-2 * 3 + x * 3) + 12
-40 + 12x = (-6 + 3x) + 12

Reorder the terms:
-40 + 12x = -6 + 12 + 3x

Combine like terms: -6 + 12 = 6
-40 + 12x = 6 + 3x

Solving
-40 + 12x = 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.
-40 + 12x + -3x = 6 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-40 + 9x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 9x = 6 + 0
-40 + 9x = 6

Add '40' to each side of the equation.
-40 + 40 + 9x = 6 + 40

Combine like terms: -40 + 40 = 0
0 + 9x = 6 + 40
9x = 6 + 40

Combine like terms: 6 + 40 = 46
9x = 46

Divide each side by '9'.
x = 5.111111111

Simplifying
x = 5.111111111

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