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

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


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

Reorder the terms:
7(-5 + x) = 4(2x + -2)
(-5 * 7 + x * 7) = 4(2x + -2)
(-35 + 7x) = 4(2x + -2)

Reorder the terms:
-35 + 7x = 4(-2 + 2x)
-35 + 7x = (-2 * 4 + 2x * 4)
-35 + 7x = (-8 + 8x)

Solving
-35 + 7x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-35 + 7x + -8x = -8 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-35 + -1x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-35 + -1x = -8 + 0
-35 + -1x = -8

Add '35' to each side of the equation.
-35 + 35 + -1x = -8 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = -8 + 35
-1x = -8 + 35

Combine like terms: -8 + 35 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

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