19x-21=-(4x-71)

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Solution for 19x-21=-(4x-71) equation:


Simplifying
19x + -21 = -1(4x + -71)

Reorder the terms:
-21 + 19x = -1(4x + -71)

Reorder the terms:
-21 + 19x = -1(-71 + 4x)
-21 + 19x = (-71 * -1 + 4x * -1)
-21 + 19x = (71 + -4x)

Solving
-21 + 19x = 71 + -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.
-21 + 19x + 4x = 71 + -4x + 4x

Combine like terms: 19x + 4x = 23x
-21 + 23x = 71 + -4x + 4x

Combine like terms: -4x + 4x = 0
-21 + 23x = 71 + 0
-21 + 23x = 71

Add '21' to each side of the equation.
-21 + 21 + 23x = 71 + 21

Combine like terms: -21 + 21 = 0
0 + 23x = 71 + 21
23x = 71 + 21

Combine like terms: 71 + 21 = 92
23x = 92

Divide each side by '23'.
x = 4

Simplifying
x = 4

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