Math

QuestionSolve for xx: x+1=5(x+6)+8xx + 1 = -5 - (x + 6) + 8x

Studdy Solution

STEP 1

Assumptions1. The equation is linear, i.e., all terms are either constants or multiples of xx to the power of1. . We need to find the value of xx that makes the equation true.

STEP 2

First, we need to simplify the equation by combining like terms.x+1=5(x+6)+8xx+1=-5-(x+6)+8x

STEP 3

istribute the negative sign inside the parentheses.
x+1=5x6+8xx+1=-5-x-6+8x

STEP 4

Combine like terms on the right side of the equation.
x+1=7x11x+1=7x-11

STEP 5

Subtract xx from both sides of the equation to isolate the variable terms on one side.
1=x111=x-11

STEP 6

Add11 to both sides of the equation to isolate the variable term.
12=6x12=6x

STEP 7

Divide both sides of the equation by6 to solve for xx.
x=2x=2So, the solution to the equation x+1=5(x+6)+xx+1=-5-(x+6)+x is x=2x=2.

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