3(x+4)=5x+2x-10

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Solution for 3(x+4)=5x+2x-10 equation:


Simplifying
3(x + 4) = 5x + 2x + -10

Reorder the terms:
3(4 + x) = 5x + 2x + -10
(4 * 3 + x * 3) = 5x + 2x + -10
(12 + 3x) = 5x + 2x + -10

Reorder the terms:
12 + 3x = -10 + 5x + 2x

Combine like terms: 5x + 2x = 7x
12 + 3x = -10 + 7x

Solving
12 + 3x = -10 + 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.
12 + 3x + -7x = -10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
12 + -4x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -4x = -10 + 0
12 + -4x = -10

Add '-12' to each side of the equation.
12 + -12 + -4x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -10 + -12
-4x = -10 + -12

Combine like terms: -10 + -12 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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