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

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


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

Reorder the terms:
7(-4 + 3x) + -5(3x + 5) = 7(x + -10)
(-4 * 7 + 3x * 7) + -5(3x + 5) = 7(x + -10)
(-28 + 21x) + -5(3x + 5) = 7(x + -10)

Reorder the terms:
-28 + 21x + -5(5 + 3x) = 7(x + -10)
-28 + 21x + (5 * -5 + 3x * -5) = 7(x + -10)
-28 + 21x + (-25 + -15x) = 7(x + -10)

Reorder the terms:
-28 + -25 + 21x + -15x = 7(x + -10)

Combine like terms: -28 + -25 = -53
-53 + 21x + -15x = 7(x + -10)

Combine like terms: 21x + -15x = 6x
-53 + 6x = 7(x + -10)

Reorder the terms:
-53 + 6x = 7(-10 + x)
-53 + 6x = (-10 * 7 + x * 7)
-53 + 6x = (-70 + 7x)

Solving
-53 + 6x = -70 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-53 + 6x + -7x = -70 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-53 + -1x = -70 + 7x + -7x

Combine like terms: 7x + -7x = 0
-53 + -1x = -70 + 0
-53 + -1x = -70

Add '53' to each side of the equation.
-53 + 53 + -1x = -70 + 53

Combine like terms: -53 + 53 = 0
0 + -1x = -70 + 53
-1x = -70 + 53

Combine like terms: -70 + 53 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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