6(x-4)=2x-7

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Solution for 6(x-4)=2x-7 equation:


Simplifying
6(x + -4) = 2x + -7

Reorder the terms:
6(-4 + x) = 2x + -7
(-4 * 6 + x * 6) = 2x + -7
(-24 + 6x) = 2x + -7

Reorder the terms:
-24 + 6x = -7 + 2x

Solving
-24 + 6x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-24 + 6x + -2x = -7 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-24 + 4x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 4x = -7 + 0
-24 + 4x = -7

Add '24' to each side of the equation.
-24 + 24 + 4x = -7 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = -7 + 24
4x = -7 + 24

Combine like terms: -7 + 24 = 17
4x = 17

Divide each side by '4'.
x = 4.25

Simplifying
x = 4.25

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