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

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


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

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

Combine like terms: 7 + -3 = 4
4 + 3x = 9 + -7(x + -4)

Reorder the terms:
4 + 3x = 9 + -7(-4 + x)
4 + 3x = 9 + (-4 * -7 + x * -7)
4 + 3x = 9 + (28 + -7x)

Combine like terms: 9 + 28 = 37
4 + 3x = 37 + -7x

Solving
4 + 3x = 37 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
4 + 3x + 7x = 37 + -7x + 7x

Combine like terms: 3x + 7x = 10x
4 + 10x = 37 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 10x = 37 + 0
4 + 10x = 37

Add '-4' to each side of the equation.
4 + -4 + 10x = 37 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 37 + -4
10x = 37 + -4

Combine like terms: 37 + -4 = 33
10x = 33

Divide each side by '10'.
x = 3.3

Simplifying
x = 3.3

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