6+7(x-3)=2x+10

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Solution for 6+7(x-3)=2x+10 equation: 


Simplifying
6 + 7(x + -3) = 2x + 10

Reorder the terms:
6 + 7(-3 + x) = 2x + 10
6 + (-3 * 7 + x * 7) = 2x + 10
6 + (-21 + 7x) = 2x + 10

Combine like terms: 6 + -21 = -15
-15 + 7x = 2x + 10

Reorder the terms:
-15 + 7x = 10 + 2x

Solving
-15 + 7x = 10 + 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.
-15 + 7x + -2x = 10 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-15 + 5x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 5x = 10 + 0
-15 + 5x = 10

Add '15' to each side of the equation.
-15 + 15 + 5x = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 10 + 15
5x = 10 + 15

Combine like terms: 10 + 15 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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