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

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


Simplifying
5(7 + -4x) = 7 + -2(x + -2)
(7 * 5 + -4x * 5) = 7 + -2(x + -2)
(35 + -20x) = 7 + -2(x + -2)

Reorder the terms:
35 + -20x = 7 + -2(-2 + x)
35 + -20x = 7 + (-2 * -2 + x * -2)
35 + -20x = 7 + (4 + -2x)

Combine like terms: 7 + 4 = 11
35 + -20x = 11 + -2x

Solving
35 + -20x = 11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
35 + -20x + 2x = 11 + -2x + 2x

Combine like terms: -20x + 2x = -18x
35 + -18x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
35 + -18x = 11 + 0
35 + -18x = 11

Add '-35' to each side of the equation.
35 + -35 + -18x = 11 + -35

Combine like terms: 35 + -35 = 0
0 + -18x = 11 + -35
-18x = 11 + -35

Combine like terms: 11 + -35 = -24
-18x = -24

Divide each side by '-18'.
x = 1.333333333

Simplifying
x = 1.333333333

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