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

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


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

Reorder the terms:
2(5 + x) = 3(5 + 3x) + -7
(5 * 2 + x * 2) = 3(5 + 3x) + -7
(10 + 2x) = 3(5 + 3x) + -7
10 + 2x = (5 * 3 + 3x * 3) + -7
10 + 2x = (15 + 9x) + -7

Reorder the terms:
10 + 2x = 15 + -7 + 9x

Combine like terms: 15 + -7 = 8
10 + 2x = 8 + 9x

Solving
10 + 2x = 8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 2x + -9x = 8 + 9x + -9x

Combine like terms: 2x + -9x = -7x
10 + -7x = 8 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + -7x = 8 + 0
10 + -7x = 8

Add '-10' to each side of the equation.
10 + -10 + -7x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 8 + -10
-7x = 8 + -10

Combine like terms: 8 + -10 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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