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 = 20
20 + -2x = 10 + -3(x + -3)

Reorder the terms:
20 + -2x = 10 + -3(-3 + x)
20 + -2x = 10 + (-3 * -3 + x * -3)
20 + -2x = 10 + (9 + -3x)

Combine like terms: 10 + 9 = 19
20 + -2x = 19 + -3x

Solving
20 + -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.
20 + -2x + 3x = 19 + -3x + 3x

Combine like terms: -2x + 3x = 1x
20 + 1x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 1x = 19 + 0
20 + 1x = 19

Add '-20' to each side of the equation.
20 + -20 + 1x = 19 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 19 + -20
1x = 19 + -20

Combine like terms: 19 + -20 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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