5(3x+10)+3=2(3x-6)

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Solution for 5(3x+10)+3=2(3x-6) equation:


Simplifying
5(3x + 10) + 3 = 2(3x + -6)

Reorder the terms:
5(10 + 3x) + 3 = 2(3x + -6)
(10 * 5 + 3x * 5) + 3 = 2(3x + -6)
(50 + 15x) + 3 = 2(3x + -6)

Reorder the terms:
50 + 3 + 15x = 2(3x + -6)

Combine like terms: 50 + 3 = 53
53 + 15x = 2(3x + -6)

Reorder the terms:
53 + 15x = 2(-6 + 3x)
53 + 15x = (-6 * 2 + 3x * 2)
53 + 15x = (-12 + 6x)

Solving
53 + 15x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
53 + 15x + -6x = -12 + 6x + -6x

Combine like terms: 15x + -6x = 9x
53 + 9x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
53 + 9x = -12 + 0
53 + 9x = -12

Add '-53' to each side of the equation.
53 + -53 + 9x = -12 + -53

Combine like terms: 53 + -53 = 0
0 + 9x = -12 + -53
9x = -12 + -53

Combine like terms: -12 + -53 = -65
9x = -65

Divide each side by '9'.
x = -7.222222222

Simplifying
x = -7.222222222

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