3(4x-7)-2(5x-13)=

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Solution for 3(4x-7)-2(5x-13)= equation:


Simplifying
3(4x + -7) + -2(5x + -13) = 0

Reorder the terms:
3(-7 + 4x) + -2(5x + -13) = 0
(-7 * 3 + 4x * 3) + -2(5x + -13) = 0
(-21 + 12x) + -2(5x + -13) = 0

Reorder the terms:
-21 + 12x + -2(-13 + 5x) = 0
-21 + 12x + (-13 * -2 + 5x * -2) = 0
-21 + 12x + (26 + -10x) = 0

Reorder the terms:
-21 + 26 + 12x + -10x = 0

Combine like terms: -21 + 26 = 5
5 + 12x + -10x = 0

Combine like terms: 12x + -10x = 2x
5 + 2x = 0

Solving
5 + 2x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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