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

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


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

Combine like terms: 7 + 3 = 10
10 + -3x = 5 + -2(3 + -4x)
10 + -3x = 5 + (3 * -2 + -4x * -2)
10 + -3x = 5 + (-6 + 8x)

Combine like terms: 5 + -6 = -1
10 + -3x = -1 + 8x

Solving
10 + -3x = -1 + 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 = -1 + 8x + -8x

Combine like terms: -3x + -8x = -11x
10 + -11x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -11x = -1 + 0
10 + -11x = -1

Add '-10' to each side of the equation.
10 + -10 + -11x = -1 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = -1 + -10
-11x = -1 + -10

Combine like terms: -1 + -10 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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