4(2x-5)-3(4x-7)=10

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Solution for 4(2x-5)-3(4x-7)=10 equation: 


Simplifying
4(2x + -5) + -3(4x + -7) = 10

Reorder the terms:
4(-5 + 2x) + -3(4x + -7) = 10
(-5 * 4 + 2x * 4) + -3(4x + -7) = 10
(-20 + 8x) + -3(4x + -7) = 10

Reorder the terms:
-20 + 8x + -3(-7 + 4x) = 10
-20 + 8x + (-7 * -3 + 4x * -3) = 10
-20 + 8x + (21 + -12x) = 10

Reorder the terms:
-20 + 21 + 8x + -12x = 10

Combine like terms: -20 + 21 = 1
1 + 8x + -12x = 10

Combine like terms: 8x + -12x = -4x
1 + -4x = 10

Solving
1 + -4x = 10

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 + -4x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 10 + -1
-4x = 10 + -1

Combine like terms: 10 + -1 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

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