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

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


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

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

Reorder the terms:
20 + 4x = 7(-10 + x)
20 + 4x = (-10 * 7 + x * 7)
20 + 4x = (-70 + 7x)

Solving
20 + 4x = -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.
20 + 4x + -7x = -70 + 7x + -7x

Combine like terms: 4x + -7x = -3x
20 + -3x = -70 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -3x = -70 + 0
20 + -3x = -70

Add '-20' to each side of the equation.
20 + -20 + -3x = -70 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -70 + -20
-3x = -70 + -20

Combine like terms: -70 + -20 = -90
-3x = -90

Divide each side by '-3'.
x = 30

Simplifying
x = 30

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