4(x+3)=6(7-x)-5

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Solution for 4(x+3)=6(7-x)-5 equation:


Simplifying
4(x + 3) = 6(7 + -1x) + -5

Reorder the terms:
4(3 + x) = 6(7 + -1x) + -5
(3 * 4 + x * 4) = 6(7 + -1x) + -5
(12 + 4x) = 6(7 + -1x) + -5
12 + 4x = (7 * 6 + -1x * 6) + -5
12 + 4x = (42 + -6x) + -5

Reorder the terms:
12 + 4x = 42 + -5 + -6x

Combine like terms: 42 + -5 = 37
12 + 4x = 37 + -6x

Solving
12 + 4x = 37 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
12 + 4x + 6x = 37 + -6x + 6x

Combine like terms: 4x + 6x = 10x
12 + 10x = 37 + -6x + 6x

Combine like terms: -6x + 6x = 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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