Equation Project - Equation Project By James Roh The Equation 18x 6 3x = 7(x 21 x 15 Step 1 First you have to simplify 18x 3x by combining like terms

# Equation Project - Equation Project By James Roh The...

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Equation Project By James Roh
The Equation 18x + 6 - 3x = 7(x + 21) + x - 15
Step 1 First, you have to simplify 18x - 3x by combining like terms and multiply 7(x+21) using the distributive property. After that you need to combine like terms again by adding x to 7x and subtracting 15 from 147. 18x + 6 - 3x = 7(x + 21) + x - 15 15x + 6 = 7x + 147 + x - 15 15x + 6 = 8x + 132
Step 2 Next you will need to eliminate the variables on one side by subtracting the smallest variable in the equation which is 8x. 15x + 6 = 8x + 132 -8x -8x 7x + 6 = 132
Step 3 Now you have to subtract the constants, which is 6 from both sides because you want to have 7x alone. 7x + 6 = 132 - 6 - 6 7x = 126
Step 4 For the final step, you will need to divide both sides by the coefficient of 7x to find what x equals. 7x = 128 7 = 7 x = 18
Check For the check, you have to substitute x and use the order of operations. 18(18) + 6 - 3(18) = 7[(18) + 21] + 18 - 15 324 + 6 - 54 = 7(39) + 18 - 15 330 - 54 = 273 + 3 276 = 276
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