2x+7-5(x+1)=4x+6

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Solution for 2x+7-5(x+1)=4x+6 equation:


Simplifying
2x + 7 + -5(x + 1) = 4x + 6

Reorder the terms:
2x + 7 + -5(1 + x) = 4x + 6
2x + 7 + (1 * -5 + x * -5) = 4x + 6
2x + 7 + (-5 + -5x) = 4x + 6

Reorder the terms:
7 + -5 + 2x + -5x = 4x + 6

Combine like terms: 7 + -5 = 2
2 + 2x + -5x = 4x + 6

Combine like terms: 2x + -5x = -3x
2 + -3x = 4x + 6

Reorder the terms:
2 + -3x = 6 + 4x

Solving
2 + -3x = 6 + 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.
2 + -3x + -4x = 6 + 4x + -4x

Combine like terms: -3x + -4x = -7x
2 + -7x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -7x = 6 + 0
2 + -7x = 6

Add '-2' to each side of the equation.
2 + -2 + -7x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 6 + -2
-7x = 6 + -2

Combine like terms: 6 + -2 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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