2(3x-5)+4=15-(9x-4)

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Solution for 2(3x-5)+4=15-(9x-4) equation:


Simplifying
2(3x + -5) + 4 = 15 + -1(9x + -4)

Reorder the terms:
2(-5 + 3x) + 4 = 15 + -1(9x + -4)
(-5 * 2 + 3x * 2) + 4 = 15 + -1(9x + -4)
(-10 + 6x) + 4 = 15 + -1(9x + -4)

Reorder the terms:
-10 + 4 + 6x = 15 + -1(9x + -4)

Combine like terms: -10 + 4 = -6
-6 + 6x = 15 + -1(9x + -4)

Reorder the terms:
-6 + 6x = 15 + -1(-4 + 9x)
-6 + 6x = 15 + (-4 * -1 + 9x * -1)
-6 + 6x = 15 + (4 + -9x)

Combine like terms: 15 + 4 = 19
-6 + 6x = 19 + -9x

Solving
-6 + 6x = 19 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-6 + 6x + 9x = 19 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-6 + 15x = 19 + -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + 15x = 19 + 0
-6 + 15x = 19

Add '6' to each side of the equation.
-6 + 6 + 15x = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 19 + 6
15x = 19 + 6

Combine like terms: 19 + 6 = 25
15x = 25

Divide each side by '15'.
x = 1.666666667

Simplifying
x = 1.666666667

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