0.8(z+3)=0.7(z+4)

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Solution for 0.8(z+3)=0.7(z+4) equation: 


Simplifying
0.8(z + 3) = 0.7(z + 4)

Reorder the terms:
0.8(3 + z) = 0.7(z + 4)
(3 * 0.8 + z * 0.8) = 0.7(z + 4)
(2.4 + 0.8z) = 0.7(z + 4)

Reorder the terms:
2.4 + 0.8z = 0.7(4 + z)
2.4 + 0.8z = (4 * 0.7 + z * 0.7)
2.4 + 0.8z = (2.8 + 0.7z)

Solving
2.4 + 0.8z = 2.8 + 0.7z

Solving for variable 'z'.

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

Add '-0.7z' to each side of the equation.
2.4 + 0.8z + -0.7z = 2.8 + 0.7z + -0.7z

Combine like terms: 0.8z + -0.7z = 0.1z
2.4 + 0.1z = 2.8 + 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
2.4 + 0.1z = 2.8 + 0.0
2.4 + 0.1z = 2.8

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.1z = 2.8 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.1z = 2.8 + -2.4
0.1z = 2.8 + -2.4

Combine like terms: 2.8 + -2.4 = 0.4
0.1z = 0.4

Divide each side by '0.1'.
z = 4

Simplifying
z = 4

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