3(5x-2)+4x=9x+6-2

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Solution for 3(5x-2)+4x=9x+6-2 equation:


Simplifying
3(5x + -2) + 4x = 9x + 6 + -2

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

Combine like terms: 15x + 4x = 19x
-6 + 19x = 9x + 6 + -2

Reorder the terms:
-6 + 19x = 6 + -2 + 9x

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

Solving
-6 + 19x = 4 + 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 + 19x + -9x = 4 + 9x + -9x

Combine like terms: 19x + -9x = 10x
-6 + 10x = 4 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + 10x = 4 + 0
-6 + 10x = 4

Add '6' to each side of the equation.
-6 + 6 + 10x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 4 + 6
10x = 4 + 6

Combine like terms: 4 + 6 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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