13(4x+9)=5x-(2x-10)

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Solution for 13(4x+9)=5x-(2x-10) equation:


Simplifying
13(4x + 9) = 5x + -1(2x + -10)

Reorder the terms:
13(9 + 4x) = 5x + -1(2x + -10)
(9 * 13 + 4x * 13) = 5x + -1(2x + -10)
(117 + 52x) = 5x + -1(2x + -10)

Reorder the terms:
117 + 52x = 5x + -1(-10 + 2x)
117 + 52x = 5x + (-10 * -1 + 2x * -1)
117 + 52x = 5x + (10 + -2x)

Reorder the terms:
117 + 52x = 10 + 5x + -2x

Combine like terms: 5x + -2x = 3x
117 + 52x = 10 + 3x

Solving
117 + 52x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
117 + 52x + -3x = 10 + 3x + -3x

Combine like terms: 52x + -3x = 49x
117 + 49x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
117 + 49x = 10 + 0
117 + 49x = 10

Add '-117' to each side of the equation.
117 + -117 + 49x = 10 + -117

Combine like terms: 117 + -117 = 0
0 + 49x = 10 + -117
49x = 10 + -117

Combine like terms: 10 + -117 = -107
49x = -107

Divide each side by '49'.
x = -2.183673469

Simplifying
x = -2.183673469

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