4(2x-6)+7(3x-9)=58

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Solution for 4(2x-6)+7(3x-9)=58 equation:


Simplifying
4(2x + -6) + 7(3x + -9) = 58

Reorder the terms:
4(-6 + 2x) + 7(3x + -9) = 58
(-6 * 4 + 2x * 4) + 7(3x + -9) = 58
(-24 + 8x) + 7(3x + -9) = 58

Reorder the terms:
-24 + 8x + 7(-9 + 3x) = 58
-24 + 8x + (-9 * 7 + 3x * 7) = 58
-24 + 8x + (-63 + 21x) = 58

Reorder the terms:
-24 + -63 + 8x + 21x = 58

Combine like terms: -24 + -63 = -87
-87 + 8x + 21x = 58

Combine like terms: 8x + 21x = 29x
-87 + 29x = 58

Solving
-87 + 29x = 58

Solving for variable 'x'.

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

Add '87' to each side of the equation.
-87 + 87 + 29x = 58 + 87

Combine like terms: -87 + 87 = 0
0 + 29x = 58 + 87
29x = 58 + 87

Combine like terms: 58 + 87 = 145
29x = 145

Divide each side by '29'.
x = 5

Simplifying
x = 5

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