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

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


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

Reorder the terms:
5 + 6(-4 + x) = 1 + -4(x + -7)
5 + (-4 * 6 + x * 6) = 1 + -4(x + -7)
5 + (-24 + 6x) = 1 + -4(x + -7)

Combine like terms: 5 + -24 = -19
-19 + 6x = 1 + -4(x + -7)

Reorder the terms:
-19 + 6x = 1 + -4(-7 + x)
-19 + 6x = 1 + (-7 * -4 + x * -4)
-19 + 6x = 1 + (28 + -4x)

Combine like terms: 1 + 28 = 29
-19 + 6x = 29 + -4x

Solving
-19 + 6x = 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.
-19 + 6x + 4x = 29 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-19 + 10x = 29 + -4x + 4x

Combine like terms: -4x + 4x = 0
-19 + 10x = 29 + 0
-19 + 10x = 29

Add '19' to each side of the equation.
-19 + 19 + 10x = 29 + 19

Combine like terms: -19 + 19 = 0
0 + 10x = 29 + 19
10x = 29 + 19

Combine like terms: 29 + 19 = 48
10x = 48

Divide each side by '10'.
x = 4.8

Simplifying
x = 4.8

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