2+9(x-7)=2-4(x-3)

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Solution for 2+9(x-7)=2-4(x-3) equation:


Simplifying
2 + 9(x + -7) = 2 + -4(x + -3)

Reorder the terms:
2 + 9(-7 + x) = 2 + -4(x + -3)
2 + (-7 * 9 + x * 9) = 2 + -4(x + -3)
2 + (-63 + 9x) = 2 + -4(x + -3)

Combine like terms: 2 + -63 = -61
-61 + 9x = 2 + -4(x + -3)

Reorder the terms:
-61 + 9x = 2 + -4(-3 + x)
-61 + 9x = 2 + (-3 * -4 + x * -4)
-61 + 9x = 2 + (12 + -4x)

Combine like terms: 2 + 12 = 14
-61 + 9x = 14 + -4x

Solving
-61 + 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.
-61 + 9x + 4x = 14 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-61 + 13x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
-61 + 13x = 14 + 0
-61 + 13x = 14

Add '61' to each side of the equation.
-61 + 61 + 13x = 14 + 61

Combine like terms: -61 + 61 = 0
0 + 13x = 14 + 61
13x = 14 + 61

Combine like terms: 14 + 61 = 75
13x = 75

Divide each side by '13'.
x = 5.769230769

Simplifying
x = 5.769230769

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