4+7(x-4)=2-7(x-9)

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Solution for 4+7(x-4)=2-7(x-9) equation:


Simplifying
4 + 7(x + -4) = 2 + -7(x + -9)

Reorder the terms:
4 + 7(-4 + x) = 2 + -7(x + -9)
4 + (-4 * 7 + x * 7) = 2 + -7(x + -9)
4 + (-28 + 7x) = 2 + -7(x + -9)

Combine like terms: 4 + -28 = -24
-24 + 7x = 2 + -7(x + -9)

Reorder the terms:
-24 + 7x = 2 + -7(-9 + x)
-24 + 7x = 2 + (-9 * -7 + x * -7)
-24 + 7x = 2 + (63 + -7x)

Combine like terms: 2 + 63 = 65
-24 + 7x = 65 + -7x

Solving
-24 + 7x = 65 + -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.
-24 + 7x + 7x = 65 + -7x + 7x

Combine like terms: 7x + 7x = 14x
-24 + 14x = 65 + -7x + 7x

Combine like terms: -7x + 7x = 0
-24 + 14x = 65 + 0
-24 + 14x = 65

Add '24' to each side of the equation.
-24 + 24 + 14x = 65 + 24

Combine like terms: -24 + 24 = 0
0 + 14x = 65 + 24
14x = 65 + 24

Combine like terms: 65 + 24 = 89
14x = 89

Divide each side by '14'.
x = 6.357142857

Simplifying
x = 6.357142857

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