7+3(1-x)=5-2(-4x)

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Solution for 7+3(1-x)=5-2(-4x) equation:


Simplifying
7 + 3(1 + -1x) = 5 + -2(-4x)
7 + (1 * 3 + -1x * 3) = 5 + -2(-4x)
7 + (3 + -3x) = 5 + -2(-4x)

Combine like terms: 7 + 3 = 10
10 + -3x = 5 + -2(-4x)

Remove parenthesis around (-4x)
10 + -3x = 5 + -2 * -4x

Multiply -2 * -4
10 + -3x = 5 + 8x

Solving
10 + -3x = 5 + 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.
10 + -3x + -8x = 5 + 8x + -8x

Combine like terms: -3x + -8x = -11x
10 + -11x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -11x = 5 + 0
10 + -11x = 5

Add '-10' to each side of the equation.
10 + -10 + -11x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = 5 + -10
-11x = 5 + -10

Combine like terms: 5 + -10 = -5
-11x = -5

Divide each side by '-11'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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