-3(x+3)+4=5(x+2)+7

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Solution for -3(x+3)+4=5(x+2)+7 equation:


Simplifying
-3(x + 3) + 4 = 5(x + 2) + 7

Reorder the terms:
-3(3 + x) + 4 = 5(x + 2) + 7
(3 * -3 + x * -3) + 4 = 5(x + 2) + 7
(-9 + -3x) + 4 = 5(x + 2) + 7

Reorder the terms:
-9 + 4 + -3x = 5(x + 2) + 7

Combine like terms: -9 + 4 = -5
-5 + -3x = 5(x + 2) + 7

Reorder the terms:
-5 + -3x = 5(2 + x) + 7
-5 + -3x = (2 * 5 + x * 5) + 7
-5 + -3x = (10 + 5x) + 7

Reorder the terms:
-5 + -3x = 10 + 7 + 5x

Combine like terms: 10 + 7 = 17
-5 + -3x = 17 + 5x

Solving
-5 + -3x = 17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + -3x + -5x = 17 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-5 + -8x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -8x = 17 + 0
-5 + -8x = 17

Add '5' to each side of the equation.
-5 + 5 + -8x = 17 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 17 + 5
-8x = 17 + 5

Combine like terms: 17 + 5 = 22
-8x = 22

Divide each side by '-8'.
x = -2.75

Simplifying
x = -2.75

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