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

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Solution for 5+7(x-6)=1-4(x-7) equation:


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

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

Combine like terms: 5 + -42 = -37
-37 + 7x = 1 + -4(x + -7)

Reorder the terms:
-37 + 7x = 1 + -4(-7 + x)
-37 + 7x = 1 + (-7 * -4 + x * -4)
-37 + 7x = 1 + (28 + -4x)

Combine like terms: 1 + 28 = 29
-37 + 7x = 29 + -4x

Solving
-37 + 7x = 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.
-37 + 7x + 4x = 29 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-37 + 11x = 29 + -4x + 4x

Combine like terms: -4x + 4x = 0
-37 + 11x = 29 + 0
-37 + 11x = 29

Add '37' to each side of the equation.
-37 + 37 + 11x = 29 + 37

Combine like terms: -37 + 37 = 0
0 + 11x = 29 + 37
11x = 29 + 37

Combine like terms: 29 + 37 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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