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

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


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

Reorder the terms:
6 + 2(-7 + x) = 10 + -3(x + -3)
6 + (-7 * 2 + x * 2) = 10 + -3(x + -3)
6 + (-14 + 2x) = 10 + -3(x + -3)

Combine like terms: 6 + -14 = -8
-8 + 2x = 10 + -3(x + -3)

Reorder the terms:
-8 + 2x = 10 + -3(-3 + x)
-8 + 2x = 10 + (-3 * -3 + x * -3)
-8 + 2x = 10 + (9 + -3x)

Combine like terms: 10 + 9 = 19
-8 + 2x = 19 + -3x

Solving
-8 + 2x = 19 + -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.
-8 + 2x + 3x = 19 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-8 + 5x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 5x = 19 + 0
-8 + 5x = 19

Add '8' to each side of the equation.
-8 + 8 + 5x = 19 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 19 + 8
5x = 19 + 8

Combine like terms: 19 + 8 = 27
5x = 27

Divide each side by '5'.
x = 5.4

Simplifying
x = 5.4

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