-3(x+6)+5=7(x+3)+9

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Solution for -3(x+6)+5=7(x+3)+9 equation:


Simplifying
-3(x + 6) + 5 = 7(x + 3) + 9

Reorder the terms:
-3(6 + x) + 5 = 7(x + 3) + 9
(6 * -3 + x * -3) + 5 = 7(x + 3) + 9
(-18 + -3x) + 5 = 7(x + 3) + 9

Reorder the terms:
-18 + 5 + -3x = 7(x + 3) + 9

Combine like terms: -18 + 5 = -13
-13 + -3x = 7(x + 3) + 9

Reorder the terms:
-13 + -3x = 7(3 + x) + 9
-13 + -3x = (3 * 7 + x * 7) + 9
-13 + -3x = (21 + 7x) + 9

Reorder the terms:
-13 + -3x = 21 + 9 + 7x

Combine like terms: 21 + 9 = 30
-13 + -3x = 30 + 7x

Solving
-13 + -3x = 30 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-13 + -3x + -7x = 30 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-13 + -10x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -10x = 30 + 0
-13 + -10x = 30

Add '13' to each side of the equation.
-13 + 13 + -10x = 30 + 13

Combine like terms: -13 + 13 = 0
0 + -10x = 30 + 13
-10x = 30 + 13

Combine like terms: 30 + 13 = 43
-10x = 43

Divide each side by '-10'.
x = -4.3

Simplifying
x = -4.3

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