9(13x+4)=-19(x-4)

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Solution for 9(13x+4)=-19(x-4) equation:


Simplifying
9(13x + 4) = -19(x + -4)

Reorder the terms:
9(4 + 13x) = -19(x + -4)
(4 * 9 + 13x * 9) = -19(x + -4)
(36 + 117x) = -19(x + -4)

Reorder the terms:
36 + 117x = -19(-4 + x)
36 + 117x = (-4 * -19 + x * -19)
36 + 117x = (76 + -19x)

Solving
36 + 117x = 76 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
36 + 117x + 19x = 76 + -19x + 19x

Combine like terms: 117x + 19x = 136x
36 + 136x = 76 + -19x + 19x

Combine like terms: -19x + 19x = 0
36 + 136x = 76 + 0
36 + 136x = 76

Add '-36' to each side of the equation.
36 + -36 + 136x = 76 + -36

Combine like terms: 36 + -36 = 0
0 + 136x = 76 + -36
136x = 76 + -36

Combine like terms: 76 + -36 = 40
136x = 40

Divide each side by '136'.
x = 0.2941176471

Simplifying
x = 0.2941176471

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