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

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


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

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

Reorder the terms:
-20 + 4x = 7(-2 + x)
-20 + 4x = (-2 * 7 + x * 7)
-20 + 4x = (-14 + 7x)

Solving
-20 + 4x = -14 + 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 = -14 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-20 + -3x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + -3x = -14 + 0
-20 + -3x = -14

Add '20' to each side of the equation.
-20 + 20 + -3x = -14 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = -14 + 20
-3x = -14 + 20

Combine like terms: -14 + 20 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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