14(14x+15)=-37(x-4)

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Solution for 14(14x+15)=-37(x-4) equation:


Simplifying
14(14x + 15) = -37(x + -4)

Reorder the terms:
14(15 + 14x) = -37(x + -4)
(15 * 14 + 14x * 14) = -37(x + -4)
(210 + 196x) = -37(x + -4)

Reorder the terms:
210 + 196x = -37(-4 + x)
210 + 196x = (-4 * -37 + x * -37)
210 + 196x = (148 + -37x)

Solving
210 + 196x = 148 + -37x

Solving for variable 'x'.

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

Add '37x' to each side of the equation.
210 + 196x + 37x = 148 + -37x + 37x

Combine like terms: 196x + 37x = 233x
210 + 233x = 148 + -37x + 37x

Combine like terms: -37x + 37x = 0
210 + 233x = 148 + 0
210 + 233x = 148

Add '-210' to each side of the equation.
210 + -210 + 233x = 148 + -210

Combine like terms: 210 + -210 = 0
0 + 233x = 148 + -210
233x = 148 + -210

Combine like terms: 148 + -210 = -62
233x = -62

Divide each side by '233'.
x = -0.2660944206

Simplifying
x = -0.2660944206

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