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

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


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

Reorder the terms:
6 + 3(-7 + x) = 5 + -4(x + -6)
6 + (-7 * 3 + x * 3) = 5 + -4(x + -6)
6 + (-21 + 3x) = 5 + -4(x + -6)

Combine like terms: 6 + -21 = -15
-15 + 3x = 5 + -4(x + -6)

Reorder the terms:
-15 + 3x = 5 + -4(-6 + x)
-15 + 3x = 5 + (-6 * -4 + x * -4)
-15 + 3x = 5 + (24 + -4x)

Combine like terms: 5 + 24 = 29
-15 + 3x = 29 + -4x

Solving
-15 + 3x = 29 + -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 = 29 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-15 + 7x = 29 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 7x = 29 + 0
-15 + 7x = 29

Add '15' to each side of the equation.
-15 + 15 + 7x = 29 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 29 + 15
7x = 29 + 15

Combine like terms: 29 + 15 = 44
7x = 44

Divide each side by '7'.
x = 6.285714286

Simplifying
x = 6.285714286

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