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

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


Simplifying
7 + 3(-2 + -1x) = 4(5x + -3)
7 + (-2 * 3 + -1x * 3) = 4(5x + -3)
7 + (-6 + -3x) = 4(5x + -3)

Combine like terms: 7 + -6 = 1
1 + -3x = 4(5x + -3)

Reorder the terms:
1 + -3x = 4(-3 + 5x)
1 + -3x = (-3 * 4 + 5x * 4)
1 + -3x = (-12 + 20x)

Solving
1 + -3x = -12 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
1 + -3x + -20x = -12 + 20x + -20x

Combine like terms: -3x + -20x = -23x
1 + -23x = -12 + 20x + -20x

Combine like terms: 20x + -20x = 0
1 + -23x = -12 + 0
1 + -23x = -12

Add '-1' to each side of the equation.
1 + -1 + -23x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -23x = -12 + -1
-23x = -12 + -1

Combine like terms: -12 + -1 = -13
-23x = -13

Divide each side by '-23'.
x = 0.5652173913

Simplifying
x = 0.5652173913

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