4-3(x-3)=4x-22

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Solution for 4-3(x-3)=4x-22 equation:


Simplifying
4 + -3(x + -3) = 4x + -22

Reorder the terms:
4 + -3(-3 + x) = 4x + -22
4 + (-3 * -3 + x * -3) = 4x + -22
4 + (9 + -3x) = 4x + -22

Combine like terms: 4 + 9 = 13
13 + -3x = 4x + -22

Reorder the terms:
13 + -3x = -22 + 4x

Solving
13 + -3x = -22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + -3x + -4x = -22 + 4x + -4x

Combine like terms: -3x + -4x = -7x
13 + -7x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -7x = -22 + 0
13 + -7x = -22

Add '-13' to each side of the equation.
13 + -13 + -7x = -22 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = -22 + -13
-7x = -22 + -13

Combine like terms: -22 + -13 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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