-3(5x-9)+3x=3(x+7)

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


Simplifying
-3(5x + -9) + 3x = 3(x + 7)

Reorder the terms:
-3(-9 + 5x) + 3x = 3(x + 7)
(-9 * -3 + 5x * -3) + 3x = 3(x + 7)
(27 + -15x) + 3x = 3(x + 7)

Combine like terms: -15x + 3x = -12x
27 + -12x = 3(x + 7)

Reorder the terms:
27 + -12x = 3(7 + x)
27 + -12x = (7 * 3 + x * 3)
27 + -12x = (21 + 3x)

Solving
27 + -12x = 21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
27 + -12x + -3x = 21 + 3x + -3x

Combine like terms: -12x + -3x = -15x
27 + -15x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + -15x = 21 + 0
27 + -15x = 21

Add '-27' to each side of the equation.
27 + -27 + -15x = 21 + -27

Combine like terms: 27 + -27 = 0
0 + -15x = 21 + -27
-15x = 21 + -27

Combine like terms: 21 + -27 = -6
-15x = -6

Divide each side by '-15'.
x = 0.4

Simplifying
x = 0.4

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