6+4(x-6)=10-9(x-7)

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Solution for 6+4(x-6)=10-9(x-7) equation: 


Simplifying
6 + 4(x + -6) = 10 + -9(x + -7)

Reorder the terms:
6 + 4(-6 + x) = 10 + -9(x + -7)
6 + (-6 * 4 + x * 4) = 10 + -9(x + -7)
6 + (-24 + 4x) = 10 + -9(x + -7)

Combine like terms: 6 + -24 = -18
-18 + 4x = 10 + -9(x + -7)

Reorder the terms:
-18 + 4x = 10 + -9(-7 + x)
-18 + 4x = 10 + (-7 * -9 + x * -9)
-18 + 4x = 10 + (63 + -9x)

Combine like terms: 10 + 63 = 73
-18 + 4x = 73 + -9x

Solving
-18 + 4x = 73 + -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.
-18 + 4x + 9x = 73 + -9x + 9x

Combine like terms: 4x + 9x = 13x
-18 + 13x = 73 + -9x + 9x

Combine like terms: -9x + 9x = 0
-18 + 13x = 73 + 0
-18 + 13x = 73

Add '18' to each side of the equation.
-18 + 18 + 13x = 73 + 18

Combine like terms: -18 + 18 = 0
0 + 13x = 73 + 18
13x = 73 + 18

Combine like terms: 73 + 18 = 91
13x = 91

Divide each side by '13'.
x = 7

Simplifying
x = 7

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