7(2x-3)+3(4x-5)=42

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Solution for 7(2x-3)+3(4x-5)=42 equation:


Simplifying
7(2x + -3) + 3(4x + -5) = 42

Reorder the terms:
7(-3 + 2x) + 3(4x + -5) = 42
(-3 * 7 + 2x * 7) + 3(4x + -5) = 42
(-21 + 14x) + 3(4x + -5) = 42

Reorder the terms:
-21 + 14x + 3(-5 + 4x) = 42
-21 + 14x + (-5 * 3 + 4x * 3) = 42
-21 + 14x + (-15 + 12x) = 42

Reorder the terms:
-21 + -15 + 14x + 12x = 42

Combine like terms: -21 + -15 = -36
-36 + 14x + 12x = 42

Combine like terms: 14x + 12x = 26x
-36 + 26x = 42

Solving
-36 + 26x = 42

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 26x = 42 + 36

Combine like terms: -36 + 36 = 0
0 + 26x = 42 + 36
26x = 42 + 36

Combine like terms: 42 + 36 = 78
26x = 78

Divide each side by '26'.
x = 3

Simplifying
x = 3

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