5x-6=3(x-7)

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Solution for 5x-6=3(x-7) equation:


Simplifying
5x + -6 = 3(x + -7)

Reorder the terms:
-6 + 5x = 3(x + -7)

Reorder the terms:
-6 + 5x = 3(-7 + x)
-6 + 5x = (-7 * 3 + x * 3)
-6 + 5x = (-21 + 3x)

Solving
-6 + 5x = -21 + 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.
-6 + 5x + -3x = -21 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-6 + 2x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 2x = -21 + 0
-6 + 2x = -21

Add '6' to each side of the equation.
-6 + 6 + 2x = -21 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -21 + 6
2x = -21 + 6

Combine like terms: -21 + 6 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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