5-4(x+4)=7x-22

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Solution for 5-4(x+4)=7x-22 equation:


Simplifying
5 + -4(x + 4) = 7x + -22

Reorder the terms:
5 + -4(4 + x) = 7x + -22
5 + (4 * -4 + x * -4) = 7x + -22
5 + (-16 + -4x) = 7x + -22

Combine like terms: 5 + -16 = -11
-11 + -4x = 7x + -22

Reorder the terms:
-11 + -4x = -22 + 7x

Solving
-11 + -4x = -22 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-11 + -4x + -7x = -22 + 7x + -7x

Combine like terms: -4x + -7x = -11x
-11 + -11x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -11x = -22 + 0
-11 + -11x = -22

Add '11' to each side of the equation.
-11 + 11 + -11x = -22 + 11

Combine like terms: -11 + 11 = 0
0 + -11x = -22 + 11
-11x = -22 + 11

Combine like terms: -22 + 11 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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