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

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


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

Reorder the terms:
5(-3 + x) = 2(x + 4) + 7
(-3 * 5 + x * 5) = 2(x + 4) + 7
(-15 + 5x) = 2(x + 4) + 7

Reorder the terms:
-15 + 5x = 2(4 + x) + 7
-15 + 5x = (4 * 2 + x * 2) + 7
-15 + 5x = (8 + 2x) + 7

Reorder the terms:
-15 + 5x = 8 + 7 + 2x

Combine like terms: 8 + 7 = 15
-15 + 5x = 15 + 2x

Solving
-15 + 5x = 15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 5x + -2x = 15 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-15 + 3x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 3x = 15 + 0
-15 + 3x = 15

Add '15' to each side of the equation.
-15 + 15 + 3x = 15 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 15 + 15
3x = 15 + 15

Combine like terms: 15 + 15 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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