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

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


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

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

Reorder the terms:
-5 + 3x + 5x = 7x + -3 + 4

Combine like terms: 3x + 5x = 8x
-5 + 8x = 7x + -3 + 4

Reorder the terms:
-5 + 8x = -3 + 4 + 7x

Combine like terms: -3 + 4 = 1
-5 + 8x = 1 + 7x

Solving
-5 + 8x = 1 + 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.
-5 + 8x + -7x = 1 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-5 + 1x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + 1x = 1 + 0
-5 + 1x = 1

Add '5' to each side of the equation.
-5 + 5 + 1x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 1 + 5
1x = 1 + 5

Combine like terms: 1 + 5 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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