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

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


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

Reorder the terms:
-2(5 + x) + 4 = 3(x + 3) + 3
(5 * -2 + x * -2) + 4 = 3(x + 3) + 3
(-10 + -2x) + 4 = 3(x + 3) + 3

Reorder the terms:
-10 + 4 + -2x = 3(x + 3) + 3

Combine like terms: -10 + 4 = -6
-6 + -2x = 3(x + 3) + 3

Reorder the terms:
-6 + -2x = 3(3 + x) + 3
-6 + -2x = (3 * 3 + x * 3) + 3
-6 + -2x = (9 + 3x) + 3

Reorder the terms:
-6 + -2x = 9 + 3 + 3x

Combine like terms: 9 + 3 = 12
-6 + -2x = 12 + 3x

Solving
-6 + -2x = 12 + 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.
-6 + -2x + -3x = 12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-6 + -5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -5x = 12 + 0
-6 + -5x = 12

Add '6' to each side of the equation.
-6 + 6 + -5x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 12 + 6
-5x = 12 + 6

Combine like terms: 12 + 6 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

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