-3x+19+6x=4(2x-9)

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Solution for -3x+19+6x=4(2x-9) equation:


Simplifying
-3x + 19 + 6x = 4(2x + -9)

Reorder the terms:
19 + -3x + 6x = 4(2x + -9)

Combine like terms: -3x + 6x = 3x
19 + 3x = 4(2x + -9)

Reorder the terms:
19 + 3x = 4(-9 + 2x)
19 + 3x = (-9 * 4 + 2x * 4)
19 + 3x = (-36 + 8x)

Solving
19 + 3x = -36 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
19 + 3x + -8x = -36 + 8x + -8x

Combine like terms: 3x + -8x = -5x
19 + -5x = -36 + 8x + -8x

Combine like terms: 8x + -8x = 0
19 + -5x = -36 + 0
19 + -5x = -36

Add '-19' to each side of the equation.
19 + -19 + -5x = -36 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = -36 + -19
-5x = -36 + -19

Combine like terms: -36 + -19 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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