6+9(x-7)=4-7(x-2)

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Solution for 6+9(x-7)=4-7(x-2) equation:


Simplifying
6 + 9(x + -7) = 4 + -7(x + -2)

Reorder the terms:
6 + 9(-7 + x) = 4 + -7(x + -2)
6 + (-7 * 9 + x * 9) = 4 + -7(x + -2)
6 + (-63 + 9x) = 4 + -7(x + -2)

Combine like terms: 6 + -63 = -57
-57 + 9x = 4 + -7(x + -2)

Reorder the terms:
-57 + 9x = 4 + -7(-2 + x)
-57 + 9x = 4 + (-2 * -7 + x * -7)
-57 + 9x = 4 + (14 + -7x)

Combine like terms: 4 + 14 = 18
-57 + 9x = 18 + -7x

Solving
-57 + 9x = 18 + -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.
-57 + 9x + 7x = 18 + -7x + 7x

Combine like terms: 9x + 7x = 16x
-57 + 16x = 18 + -7x + 7x

Combine like terms: -7x + 7x = 0
-57 + 16x = 18 + 0
-57 + 16x = 18

Add '57' to each side of the equation.
-57 + 57 + 16x = 18 + 57

Combine like terms: -57 + 57 = 0
0 + 16x = 18 + 57
16x = 18 + 57

Combine like terms: 18 + 57 = 75
16x = 75

Divide each side by '16'.
x = 4.6875

Simplifying
x = 4.6875

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