4+6(x-3)=1-9(x-7)

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Solution for 4+6(x-3)=1-9(x-7) equation:


Simplifying
4 + 6(x + -3) = 1 + -9(x + -7)

Reorder the terms:
4 + 6(-3 + x) = 1 + -9(x + -7)
4 + (-3 * 6 + x * 6) = 1 + -9(x + -7)
4 + (-18 + 6x) = 1 + -9(x + -7)

Combine like terms: 4 + -18 = -14
-14 + 6x = 1 + -9(x + -7)

Reorder the terms:
-14 + 6x = 1 + -9(-7 + x)
-14 + 6x = 1 + (-7 * -9 + x * -9)
-14 + 6x = 1 + (63 + -9x)

Combine like terms: 1 + 63 = 64
-14 + 6x = 64 + -9x

Solving
-14 + 6x = 64 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-14 + 6x + 9x = 64 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-14 + 15x = 64 + -9x + 9x

Combine like terms: -9x + 9x = 0
-14 + 15x = 64 + 0
-14 + 15x = 64

Add '14' to each side of the equation.
-14 + 14 + 15x = 64 + 14

Combine like terms: -14 + 14 = 0
0 + 15x = 64 + 14
15x = 64 + 14

Combine like terms: 64 + 14 = 78
15x = 78

Divide each side by '15'.
x = 5.2

Simplifying
x = 5.2

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