6-5(x+1)=-29+2(x+1)

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Solution for 6-5(x+1)=-29+2(x+1) equation:


Simplifying
6 + -5(x + 1) = -29 + 2(x + 1)

Reorder the terms:
6 + -5(1 + x) = -29 + 2(x + 1)
6 + (1 * -5 + x * -5) = -29 + 2(x + 1)
6 + (-5 + -5x) = -29 + 2(x + 1)

Combine like terms: 6 + -5 = 1
1 + -5x = -29 + 2(x + 1)

Reorder the terms:
1 + -5x = -29 + 2(1 + x)
1 + -5x = -29 + (1 * 2 + x * 2)
1 + -5x = -29 + (2 + 2x)

Combine like terms: -29 + 2 = -27
1 + -5x = -27 + 2x

Solving
1 + -5x = -27 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + -5x + -2x = -27 + 2x + -2x

Combine like terms: -5x + -2x = -7x
1 + -7x = -27 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -7x = -27 + 0
1 + -7x = -27

Add '-1' to each side of the equation.
1 + -1 + -7x = -27 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = -27 + -1
-7x = -27 + -1

Combine like terms: -27 + -1 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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