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

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


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

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

Reorder the terms:
-15 + 5x + 3(2 + x) = 7x
-15 + 5x + (2 * 3 + x * 3) = 7x
-15 + 5x + (6 + 3x) = 7x

Reorder the terms:
-15 + 6 + 5x + 3x = 7x

Combine like terms: -15 + 6 = -9
-9 + 5x + 3x = 7x

Combine like terms: 5x + 3x = 8x
-9 + 8x = 7x

Solving
-9 + 8x = 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.
-9 + 8x + -7x = 7x + -7x

Combine like terms: 8x + -7x = 1x
-9 + 1x = 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + 1x = 0

Add '9' to each side of the equation.
-9 + 9 + 1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 0 + 9
1x = 0 + 9

Combine like terms: 0 + 9 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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