6(4x-7)-5(2x+5)=3

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Solution for 6(4x-7)-5(2x+5)=3 equation:


Simplifying
6(4x + -7) + -5(2x + 5) = 3

Reorder the terms:
6(-7 + 4x) + -5(2x + 5) = 3
(-7 * 6 + 4x * 6) + -5(2x + 5) = 3
(-42 + 24x) + -5(2x + 5) = 3

Reorder the terms:
-42 + 24x + -5(5 + 2x) = 3
-42 + 24x + (5 * -5 + 2x * -5) = 3
-42 + 24x + (-25 + -10x) = 3

Reorder the terms:
-42 + -25 + 24x + -10x = 3

Combine like terms: -42 + -25 = -67
-67 + 24x + -10x = 3

Combine like terms: 24x + -10x = 14x
-67 + 14x = 3

Solving
-67 + 14x = 3

Solving for variable 'x'.

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

Add '67' to each side of the equation.
-67 + 67 + 14x = 3 + 67

Combine like terms: -67 + 67 = 0
0 + 14x = 3 + 67
14x = 3 + 67

Combine like terms: 3 + 67 = 70
14x = 70

Divide each side by '14'.
x = 5

Simplifying
x = 5

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