1+4(x-2)=6-7(x-5)

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Solution for 1+4(x-2)=6-7(x-5) equation:


Simplifying
1 + 4(x + -2) = 6 + -7(x + -5)

Reorder the terms:
1 + 4(-2 + x) = 6 + -7(x + -5)
1 + (-2 * 4 + x * 4) = 6 + -7(x + -5)
1 + (-8 + 4x) = 6 + -7(x + -5)

Combine like terms: 1 + -8 = -7
-7 + 4x = 6 + -7(x + -5)

Reorder the terms:
-7 + 4x = 6 + -7(-5 + x)
-7 + 4x = 6 + (-5 * -7 + x * -7)
-7 + 4x = 6 + (35 + -7x)

Combine like terms: 6 + 35 = 41
-7 + 4x = 41 + -7x

Solving
-7 + 4x = 41 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-7 + 4x + 7x = 41 + -7x + 7x

Combine like terms: 4x + 7x = 11x
-7 + 11x = 41 + -7x + 7x

Combine like terms: -7x + 7x = 0
-7 + 11x = 41 + 0
-7 + 11x = 41

Add '7' to each side of the equation.
-7 + 7 + 11x = 41 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = 41 + 7
11x = 41 + 7

Combine like terms: 41 + 7 = 48
11x = 48

Divide each side by '11'.
x = 4.363636364

Simplifying
x = 4.363636364

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