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

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


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

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

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

Combine like terms: -15 + 2 = -13
-13 + 3x = 5x + 7

Reorder the terms:
-13 + 3x = 7 + 5x

Solving
-13 + 3x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-13 + 3x + -5x = 7 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-13 + -2x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + -2x = 7 + 0
-13 + -2x = 7

Add '13' to each side of the equation.
-13 + 13 + -2x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 7 + 13
-2x = 7 + 13

Combine like terms: 7 + 13 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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