199=3x+4(5x-2)

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Solution for 199=3x+4(5x-2) equation:


Simplifying
199 = 3x + 4(5x + -2)

Reorder the terms:
199 = 3x + 4(-2 + 5x)
199 = 3x + (-2 * 4 + 5x * 4)
199 = 3x + (-8 + 20x)

Reorder the terms:
199 = -8 + 3x + 20x

Combine like terms: 3x + 20x = 23x
199 = -8 + 23x

Solving
199 = -8 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
199 + -23x = -8 + 23x + -23x

Combine like terms: 23x + -23x = 0
199 + -23x = -8 + 0
199 + -23x = -8

Add '-199' to each side of the equation.
199 + -199 + -23x = -8 + -199

Combine like terms: 199 + -199 = 0
0 + -23x = -8 + -199
-23x = -8 + -199

Combine like terms: -8 + -199 = -207
-23x = -207

Divide each side by '-23'.
x = 9

Simplifying
x = 9

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