3(5z-3)-4(2z+1)=5z-2

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Solution for 3(5z-3)-4(2z+1)=5z-2 equation:


Simplifying
3(5z + -3) + -4(2z + 1) = 5z + -2

Reorder the terms:
3(-3 + 5z) + -4(2z + 1) = 5z + -2
(-3 * 3 + 5z * 3) + -4(2z + 1) = 5z + -2
(-9 + 15z) + -4(2z + 1) = 5z + -2

Reorder the terms:
-9 + 15z + -4(1 + 2z) = 5z + -2
-9 + 15z + (1 * -4 + 2z * -4) = 5z + -2
-9 + 15z + (-4 + -8z) = 5z + -2

Reorder the terms:
-9 + -4 + 15z + -8z = 5z + -2

Combine like terms: -9 + -4 = -13
-13 + 15z + -8z = 5z + -2

Combine like terms: 15z + -8z = 7z
-13 + 7z = 5z + -2

Reorder the terms:
-13 + 7z = -2 + 5z

Solving
-13 + 7z = -2 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-13 + 7z + -5z = -2 + 5z + -5z

Combine like terms: 7z + -5z = 2z
-13 + 2z = -2 + 5z + -5z

Combine like terms: 5z + -5z = 0
-13 + 2z = -2 + 0
-13 + 2z = -2

Add '13' to each side of the equation.
-13 + 13 + 2z = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 2z = -2 + 13
2z = -2 + 13

Combine like terms: -2 + 13 = 11
2z = 11

Divide each side by '2'.
z = 5.5

Simplifying
z = 5.5

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