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

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


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

Reorder the terms:
1 + 6(-5 + x) = 5 + -4(x + -7)
1 + (-5 * 6 + x * 6) = 5 + -4(x + -7)
1 + (-30 + 6x) = 5 + -4(x + -7)

Combine like terms: 1 + -30 = -29
-29 + 6x = 5 + -4(x + -7)

Reorder the terms:
-29 + 6x = 5 + -4(-7 + x)
-29 + 6x = 5 + (-7 * -4 + x * -4)
-29 + 6x = 5 + (28 + -4x)

Combine like terms: 5 + 28 = 33
-29 + 6x = 33 + -4x

Solving
-29 + 6x = 33 + -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.
-29 + 6x + 4x = 33 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-29 + 10x = 33 + -4x + 4x

Combine like terms: -4x + 4x = 0
-29 + 10x = 33 + 0
-29 + 10x = 33

Add '29' to each side of the equation.
-29 + 29 + 10x = 33 + 29

Combine like terms: -29 + 29 = 0
0 + 10x = 33 + 29
10x = 33 + 29

Combine like terms: 33 + 29 = 62
10x = 62

Divide each side by '10'.
x = 6.2

Simplifying
x = 6.2

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