(x-3)+5=4-7(2x-1)

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Solution for (x-3)+5=4-7(2x-1) equation:


Simplifying
(x + -3) + 5 = 4 + -7(2x + -1)

Reorder the terms:
(-3 + x) + 5 = 4 + -7(2x + -1)

Remove parenthesis around (-3 + x)
-3 + x + 5 = 4 + -7(2x + -1)

Reorder the terms:
-3 + 5 + x = 4 + -7(2x + -1)

Combine like terms: -3 + 5 = 2
2 + x = 4 + -7(2x + -1)

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

Combine like terms: 4 + 7 = 11
2 + x = 11 + -14x

Solving
2 + x = 11 + -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.
2 + x + 14x = 11 + -14x + 14x

Combine like terms: x + 14x = 15x
2 + 15x = 11 + -14x + 14x

Combine like terms: -14x + 14x = 0
2 + 15x = 11 + 0
2 + 15x = 11

Add '-2' to each side of the equation.
2 + -2 + 15x = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 15x = 11 + -2
15x = 11 + -2

Combine like terms: 11 + -2 = 9
15x = 9

Divide each side by '15'.
x = 0.6

Simplifying
x = 0.6

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