6x+5-3(x+1)=7x+5

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Solution for 6x+5-3(x+1)=7x+5 equation:


Simplifying
6x + 5 + -3(x + 1) = 7x + 5

Reorder the terms:
6x + 5 + -3(1 + x) = 7x + 5
6x + 5 + (1 * -3 + x * -3) = 7x + 5
6x + 5 + (-3 + -3x) = 7x + 5

Reorder the terms:
5 + -3 + 6x + -3x = 7x + 5

Combine like terms: 5 + -3 = 2
2 + 6x + -3x = 7x + 5

Combine like terms: 6x + -3x = 3x
2 + 3x = 7x + 5

Reorder the terms:
2 + 3x = 5 + 7x

Solving
2 + 3x = 5 + 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.
2 + 3x + -7x = 5 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
2 + -4x = 5 + 0
2 + -4x = 5

Add '-2' to each side of the equation.
2 + -2 + -4x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 5 + -2
-4x = 5 + -2

Combine like terms: 5 + -2 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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