4(x-2)+3(x+3)=15

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Solution for 4(x-2)+3(x+3)=15 equation: 


Simplifying
4(x + -2) + 3(x + 3) = 15

Reorder the terms:
4(-2 + x) + 3(x + 3) = 15
(-2 * 4 + x * 4) + 3(x + 3) = 15
(-8 + 4x) + 3(x + 3) = 15

Reorder the terms:
-8 + 4x + 3(3 + x) = 15
-8 + 4x + (3 * 3 + x * 3) = 15
-8 + 4x + (9 + 3x) = 15

Reorder the terms:
-8 + 9 + 4x + 3x = 15

Combine like terms: -8 + 9 = 1
1 + 4x + 3x = 15

Combine like terms: 4x + 3x = 7x
1 + 7x = 15

Solving
1 + 7x = 15

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 7x = 15 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 15 + -1
7x = 15 + -1

Combine like terms: 15 + -1 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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