3(4-x)=7(x+5)+2

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Solution for 3(4-x)=7(x+5)+2 equation:


Simplifying
3(4 + -1x) = 7(x + 5) + 2
(4 * 3 + -1x * 3) = 7(x + 5) + 2
(12 + -3x) = 7(x + 5) + 2

Reorder the terms:
12 + -3x = 7(5 + x) + 2
12 + -3x = (5 * 7 + x * 7) + 2
12 + -3x = (35 + 7x) + 2

Reorder the terms:
12 + -3x = 35 + 2 + 7x

Combine like terms: 35 + 2 = 37
12 + -3x = 37 + 7x

Solving
12 + -3x = 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.
12 + -3x + -7x = 37 + 7x + -7x

Combine like terms: -3x + -7x = -10x
12 + -10x = 37 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -10x = 37 + 0
12 + -10x = 37

Add '-12' to each side of the equation.
12 + -12 + -10x = 37 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = 37 + -12
-10x = 37 + -12

Combine like terms: 37 + -12 = 25
-10x = 25

Divide each side by '-10'.
x = -2.5

Simplifying
x = -2.5

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