7(10-3x)=5(15-4x)

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Solution for 7(10-3x)=5(15-4x) equation: 


Simplifying
7(10 + -3x) = 5(15 + -4x)
(10 * 7 + -3x * 7) = 5(15 + -4x)
(70 + -21x) = 5(15 + -4x)
70 + -21x = (15 * 5 + -4x * 5)
70 + -21x = (75 + -20x)

Solving
70 + -21x = 75 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
70 + -21x + 20x = 75 + -20x + 20x

Combine like terms: -21x + 20x = -1x
70 + -1x = 75 + -20x + 20x

Combine like terms: -20x + 20x = 0
70 + -1x = 75 + 0
70 + -1x = 75

Add '-70' to each side of the equation.
70 + -70 + -1x = 75 + -70

Combine like terms: 70 + -70 = 0
0 + -1x = 75 + -70
-1x = 75 + -70

Combine like terms: 75 + -70 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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