3(x-4)=6(x-1)-10

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Solution for 3(x-4)=6(x-1)-10 equation: 


Simplifying
3(x + -4) = 6(x + -1) + -10

Reorder the terms:
3(-4 + x) = 6(x + -1) + -10
(-4 * 3 + x * 3) = 6(x + -1) + -10
(-12 + 3x) = 6(x + -1) + -10

Reorder the terms:
-12 + 3x = 6(-1 + x) + -10
-12 + 3x = (-1 * 6 + x * 6) + -10
-12 + 3x = (-6 + 6x) + -10

Reorder the terms:
-12 + 3x = -6 + -10 + 6x

Combine like terms: -6 + -10 = -16
-12 + 3x = -16 + 6x

Solving
-12 + 3x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 3x + -6x = -16 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-12 + -3x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -3x = -16 + 0
-12 + -3x = -16

Add '12' to each side of the equation.
-12 + 12 + -3x = -16 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -16 + 12
-3x = -16 + 12

Combine like terms: -16 + 12 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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