-3(x+6)+3=7(x+5)+2

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Solution for -3(x+6)+3=7(x+5)+2 equation:


Simplifying
-3(x + 6) + 3 = 7(x + 5) + 2

Reorder the terms:
-3(6 + x) + 3 = 7(x + 5) + 2
(6 * -3 + x * -3) + 3 = 7(x + 5) + 2
(-18 + -3x) + 3 = 7(x + 5) + 2

Reorder the terms:
-18 + 3 + -3x = 7(x + 5) + 2

Combine like terms: -18 + 3 = -15
-15 + -3x = 7(x + 5) + 2

Reorder the terms:
-15 + -3x = 7(5 + x) + 2
-15 + -3x = (5 * 7 + x * 7) + 2
-15 + -3x = (35 + 7x) + 2

Reorder the terms:
-15 + -3x = 35 + 2 + 7x

Combine like terms: 35 + 2 = 37
-15 + -3x = 37 + 7x

Solving
-15 + -3x = 37 + 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.
-15 + -3x + -7x = 37 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-15 + -10x = 37 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -10x = 37 + 0
-15 + -10x = 37

Add '15' to each side of the equation.
-15 + 15 + -10x = 37 + 15

Combine like terms: -15 + 15 = 0
0 + -10x = 37 + 15
-10x = 37 + 15

Combine like terms: 37 + 15 = 52
-10x = 52

Divide each side by '-10'.
x = -5.2

Simplifying
x = -5.2

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