5-4(x-1)=-2x+19

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Solution for 5-4(x-1)=-2x+19 equation:


Simplifying
5 + -4(x + -1) = -2x + 19

Reorder the terms:
5 + -4(-1 + x) = -2x + 19
5 + (-1 * -4 + x * -4) = -2x + 19
5 + (4 + -4x) = -2x + 19

Combine like terms: 5 + 4 = 9
9 + -4x = -2x + 19

Reorder the terms:
9 + -4x = 19 + -2x

Solving
9 + -4x = 19 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + -4x + 2x = 19 + -2x + 2x

Combine like terms: -4x + 2x = -2x
9 + -2x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + -2x = 19 + 0
9 + -2x = 19

Add '-9' to each side of the equation.
9 + -9 + -2x = 19 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 19 + -9
-2x = 19 + -9

Combine like terms: 19 + -9 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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