49(7-z)-43=26z-5(3+6z)

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Solution for 49(7-z)-43=26z-5(3+6z) equation:



49(7-z)-43=26z-5(3+6z)
We move all terms to the left:
49(7-z)-43-(26z-5(3+6z))=0
We add all the numbers together, and all the variables
49(-1z+7)-(26z-5(6z+3))-43=0
We multiply parentheses
-49z-(26z-5(6z+3))+343-43=0
We calculate terms in parentheses: -(26z-5(6z+3)), so:
26z-5(6z+3)
We multiply parentheses
26z-30z-15
We add all the numbers together, and all the variables
-4z-15
Back to the equation:
-(-4z-15)
We add all the numbers together, and all the variables
-49z-(-4z-15)+300=0
We get rid of parentheses
-49z+4z+15+300=0
We add all the numbers together, and all the variables
-45z+315=0
We move all terms containing z to the left, all other terms to the right
-45z=-315
z=-315/-45
z=+7

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