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

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


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

Reorder the terms:
4 + 9(-6 + x) = 3 + -7(x + -3)
4 + (-6 * 9 + x * 9) = 3 + -7(x + -3)
4 + (-54 + 9x) = 3 + -7(x + -3)

Combine like terms: 4 + -54 = -50
-50 + 9x = 3 + -7(x + -3)

Reorder the terms:
-50 + 9x = 3 + -7(-3 + x)
-50 + 9x = 3 + (-3 * -7 + x * -7)
-50 + 9x = 3 + (21 + -7x)

Combine like terms: 3 + 21 = 24
-50 + 9x = 24 + -7x

Solving
-50 + 9x = 24 + -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.
-50 + 9x + 7x = 24 + -7x + 7x

Combine like terms: 9x + 7x = 16x
-50 + 16x = 24 + -7x + 7x

Combine like terms: -7x + 7x = 0
-50 + 16x = 24 + 0
-50 + 16x = 24

Add '50' to each side of the equation.
-50 + 50 + 16x = 24 + 50

Combine like terms: -50 + 50 = 0
0 + 16x = 24 + 50
16x = 24 + 50

Combine like terms: 24 + 50 = 74
16x = 74

Divide each side by '16'.
x = 4.625

Simplifying
x = 4.625

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