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

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


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

Reorder the terms:
3(-7 + 3x) = 4(-1x + 1)
(-7 * 3 + 3x * 3) = 4(-1x + 1)
(-21 + 9x) = 4(-1x + 1)

Reorder the terms:
-21 + 9x = 4(1 + -1x)
-21 + 9x = (1 * 4 + -1x * 4)
-21 + 9x = (4 + -4x)

Solving
-21 + 9x = 4 + -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.
-21 + 9x + 4x = 4 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-21 + 13x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-21 + 13x = 4 + 0
-21 + 13x = 4

Add '21' to each side of the equation.
-21 + 21 + 13x = 4 + 21

Combine like terms: -21 + 21 = 0
0 + 13x = 4 + 21
13x = 4 + 21

Combine like terms: 4 + 21 = 25
13x = 25

Divide each side by '13'.
x = 1.923076923

Simplifying
x = 1.923076923

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