4+9(x-3)=10-4(x-1)

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Solution for 4+9(x-3)=10-4(x-1) equation:


Simplifying
4 + 9(x + -3) = 10 + -4(x + -1)

Reorder the terms:
4 + 9(-3 + x) = 10 + -4(x + -1)
4 + (-3 * 9 + x * 9) = 10 + -4(x + -1)
4 + (-27 + 9x) = 10 + -4(x + -1)

Combine like terms: 4 + -27 = -23
-23 + 9x = 10 + -4(x + -1)

Reorder the terms:
-23 + 9x = 10 + -4(-1 + x)
-23 + 9x = 10 + (-1 * -4 + x * -4)
-23 + 9x = 10 + (4 + -4x)

Combine like terms: 10 + 4 = 14
-23 + 9x = 14 + -4x

Solving
-23 + 9x = 14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-23 + 9x + 4x = 14 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-23 + 13x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
-23 + 13x = 14 + 0
-23 + 13x = 14

Add '23' to each side of the equation.
-23 + 23 + 13x = 14 + 23

Combine like terms: -23 + 23 = 0
0 + 13x = 14 + 23
13x = 14 + 23

Combine like terms: 14 + 23 = 37
13x = 37

Divide each side by '13'.
x = 2.846153846

Simplifying
x = 2.846153846

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