3(x-6)=7x-10

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Solution for 3(x-6)=7x-10 equation:


Simplifying
3(x + -6) = 7x + -10

Reorder the terms:
3(-6 + x) = 7x + -10
(-6 * 3 + x * 3) = 7x + -10
(-18 + 3x) = 7x + -10

Reorder the terms:
-18 + 3x = -10 + 7x

Solving
-18 + 3x = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 3x + -7x = -10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-18 + -4x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + -4x = -10 + 0
-18 + -4x = -10

Add '18' to each side of the equation.
-18 + 18 + -4x = -10 + 18

Combine like terms: -18 + 18 = 0
0 + -4x = -10 + 18
-4x = -10 + 18

Combine like terms: -10 + 18 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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