2(3x-5)+7=4-9(x-1)

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Solution for 2(3x-5)+7=4-9(x-1) equation:


Simplifying
2(3x + -5) + 7 = 4 + -9(x + -1)

Reorder the terms:
2(-5 + 3x) + 7 = 4 + -9(x + -1)
(-5 * 2 + 3x * 2) + 7 = 4 + -9(x + -1)
(-10 + 6x) + 7 = 4 + -9(x + -1)

Reorder the terms:
-10 + 7 + 6x = 4 + -9(x + -1)

Combine like terms: -10 + 7 = -3
-3 + 6x = 4 + -9(x + -1)

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

Combine like terms: 4 + 9 = 13
-3 + 6x = 13 + -9x

Solving
-3 + 6x = 13 + -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.
-3 + 6x + 9x = 13 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-3 + 15x = 13 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 15x = 13 + 0
-3 + 15x = 13

Add '3' to each side of the equation.
-3 + 3 + 15x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 15x = 13 + 3
15x = 13 + 3

Combine like terms: 13 + 3 = 16
15x = 16

Divide each side by '15'.
x = 1.066666667

Simplifying
x = 1.066666667

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