x+2=3(5x-3)

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


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

Reorder the terms:
2 + x = 3(5x + -3)

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

Solving
2 + x = -9 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + x + -15x = -9 + 15x + -15x

Combine like terms: x + -15x = -14x
2 + -14x = -9 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -14x = -9 + 0
2 + -14x = -9

Add '-2' to each side of the equation.
2 + -2 + -14x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -14x = -9 + -2
-14x = -9 + -2

Combine like terms: -9 + -2 = -11
-14x = -11

Divide each side by '-14'.
x = 0.7857142857

Simplifying
x = 0.7857142857

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