3(2x-7)-(7x-13)=-10

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Solution for 3(2x-7)-(7x-13)=-10 equation: 


Simplifying
3(2x + -7) + -1(7x + -13) = -10

Reorder the terms:
3(-7 + 2x) + -1(7x + -13) = -10
(-7 * 3 + 2x * 3) + -1(7x + -13) = -10
(-21 + 6x) + -1(7x + -13) = -10

Reorder the terms:
-21 + 6x + -1(-13 + 7x) = -10
-21 + 6x + (-13 * -1 + 7x * -1) = -10
-21 + 6x + (13 + -7x) = -10

Reorder the terms:
-21 + 13 + 6x + -7x = -10

Combine like terms: -21 + 13 = -8
-8 + 6x + -7x = -10

Combine like terms: 6x + -7x = -1x
-8 + -1x = -10

Solving
-8 + -1x = -10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1x = -10 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -10 + 8
-1x = -10 + 8

Combine like terms: -10 + 8 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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