5(x-6)=7x+3

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


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

Reorder the terms:
5(-6 + x) = 7x + 3
(-6 * 5 + x * 5) = 7x + 3
(-30 + 5x) = 7x + 3

Reorder the terms:
-30 + 5x = 3 + 7x

Solving
-30 + 5x = 3 + 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.
-30 + 5x + -7x = 3 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-30 + -2x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-30 + -2x = 3 + 0
-30 + -2x = 3

Add '30' to each side of the equation.
-30 + 30 + -2x = 3 + 30

Combine like terms: -30 + 30 = 0
0 + -2x = 3 + 30
-2x = 3 + 30

Combine like terms: 3 + 30 = 33
-2x = 33

Divide each side by '-2'.
x = -16.5

Simplifying
x = -16.5

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