Simplify and solve the following linear equation:
$3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17$

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Solution

Given: $3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17$
$\Rightarrow 15 z - 21 - 18 z + 22 = 32 z - 52 - 17$
$\Rightarrow 15 z - 18 z - 21 + 22 = 32 z - 69$
$\Rightarrow - 3 z + 1 = 32 z - 69$
$\Rightarrow - 32 z - 3 z = - 69 - 1$
$\Rightarrow - 35 z = - 70$
$\Rightarrow z = \frac{- 70}{- 35}$
$∴ z = 2$

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Similar questions

Simplify and solve the following linear equation

3(5z_7)_2(9z_11)=4(8z_13)_17

Solve the linear equation: $3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17$

3 (5 z - 7) + 2 (9 z - 11) = 4 (8 z - 7) - 111

3(5z-7)-2(9z-11)=4(8z-13)-17

Solve this equation.

3 (5 z - 7) - 2 (9 z - 11) = 4 (8 z - 13) - 17

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