3(x-5)=-4x+62

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Solution for 3(x-5)=-4x+62 equation:


Simplifying
3(x + -5) = -4x + 62

Reorder the terms:
3(-5 + x) = -4x + 62
(-5 * 3 + x * 3) = -4x + 62
(-15 + 3x) = -4x + 62

Reorder the terms:
-15 + 3x = 62 + -4x

Solving
-15 + 3x = 62 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-15 + 3x + 4x = 62 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-15 + 7x = 62 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 7x = 62 + 0
-15 + 7x = 62

Add '15' to each side of the equation.
-15 + 15 + 7x = 62 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 62 + 15
7x = 62 + 15

Combine like terms: 62 + 15 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11

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