4(x-3)=9-7(2x+1)

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Solution for 4(x-3)=9-7(2x+1) equation:


Simplifying
4(x + -3) = 9 + -7(2x + 1)

Reorder the terms:
4(-3 + x) = 9 + -7(2x + 1)
(-3 * 4 + x * 4) = 9 + -7(2x + 1)
(-12 + 4x) = 9 + -7(2x + 1)

Reorder the terms:
-12 + 4x = 9 + -7(1 + 2x)
-12 + 4x = 9 + (1 * -7 + 2x * -7)
-12 + 4x = 9 + (-7 + -14x)

Combine like terms: 9 + -7 = 2
-12 + 4x = 2 + -14x

Solving
-12 + 4x = 2 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-12 + 4x + 14x = 2 + -14x + 14x

Combine like terms: 4x + 14x = 18x
-12 + 18x = 2 + -14x + 14x

Combine like terms: -14x + 14x = 0
-12 + 18x = 2 + 0
-12 + 18x = 2

Add '12' to each side of the equation.
-12 + 12 + 18x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 18x = 2 + 12
18x = 2 + 12

Combine like terms: 2 + 12 = 14
18x = 14

Divide each side by '18'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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