4x-7(x-7)=10

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Solution for 4x-7(x-7)=10 equation: 


Simplifying
4x + -7(x + -7) = 10

Reorder the terms:
4x + -7(-7 + x) = 10
4x + (-7 * -7 + x * -7) = 10
4x + (49 + -7x) = 10

Reorder the terms:
49 + 4x + -7x = 10

Combine like terms: 4x + -7x = -3x
49 + -3x = 10

Solving
49 + -3x = 10

Solving for variable 'x'.

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

Add '-49' to each side of the equation.
49 + -49 + -3x = 10 + -49

Combine like terms: 49 + -49 = 0
0 + -3x = 10 + -49
-3x = 10 + -49

Combine like terms: 10 + -49 = -39
-3x = -39

Divide each side by '-3'.
x = 13

Simplifying
x = 13

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