5(3x-7)+-4(2x-9)=43

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Solution for 5(3x-7)+-4(2x-9)=43 equation:


Simplifying
5(3x + -7) + -4(2x + -9) = 43

Reorder the terms:
5(-7 + 3x) + -4(2x + -9) = 43
(-7 * 5 + 3x * 5) + -4(2x + -9) = 43
(-35 + 15x) + -4(2x + -9) = 43

Reorder the terms:
-35 + 15x + -4(-9 + 2x) = 43
-35 + 15x + (-9 * -4 + 2x * -4) = 43
-35 + 15x + (36 + -8x) = 43

Reorder the terms:
-35 + 36 + 15x + -8x = 43

Combine like terms: -35 + 36 = 1
1 + 15x + -8x = 43

Combine like terms: 15x + -8x = 7x
1 + 7x = 43

Solving
1 + 7x = 43

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 7x = 43 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 43 + -1
7x = 43 + -1

Combine like terms: 43 + -1 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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