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

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


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

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

Combine like terms: 2x + 3x = 5x
-6 + 5x = 7(x + 5) + 2

Reorder the terms:
-6 + 5x = 7(5 + x) + 2
-6 + 5x = (5 * 7 + x * 7) + 2
-6 + 5x = (35 + 7x) + 2

Reorder the terms:
-6 + 5x = 35 + 2 + 7x

Combine like terms: 35 + 2 = 37
-6 + 5x = 37 + 7x

Solving
-6 + 5x = 37 + 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.
-6 + 5x + -7x = 37 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-6 + -2x = 37 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -2x = 37 + 0
-6 + -2x = 37

Add '6' to each side of the equation.
-6 + 6 + -2x = 37 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 37 + 6
-2x = 37 + 6

Combine like terms: 37 + 6 = 43
-2x = 43

Divide each side by '-2'.
x = -21.5

Simplifying
x = -21.5

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