7x-(4x-7)=22

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Solution for 7x-(4x-7)=22 equation:


Simplifying
7x + -1(4x + -7) = 22

Reorder the terms:
7x + -1(-7 + 4x) = 22
7x + (-7 * -1 + 4x * -1) = 22
7x + (7 + -4x) = 22

Reorder the terms:
7 + 7x + -4x = 22

Combine like terms: 7x + -4x = 3x
7 + 3x = 22

Solving
7 + 3x = 22

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 22 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 22 + -7
3x = 22 + -7

Combine like terms: 22 + -7 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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