4[7-(-4x-3)]=64x+76

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Solution for 4[7-(-4x-3)]=64x+76 equation:


Simplifying
4[7 + -1(-4x + -3)] = 64x + 76

Reorder the terms:
4[7 + -1(-3 + -4x)] = 64x + 76
4[7 + (-3 * -1 + -4x * -1)] = 64x + 76
4[7 + (3 + 4x)] = 64x + 76

Combine like terms: 7 + 3 = 10
4[10 + 4x] = 64x + 76
[10 * 4 + 4x * 4] = 64x + 76
[40 + 16x] = 64x + 76

Reorder the terms:
40 + 16x = 76 + 64x

Solving
40 + 16x = 76 + 64x

Solving for variable 'x'.

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

Add '-64x' to each side of the equation.
40 + 16x + -64x = 76 + 64x + -64x

Combine like terms: 16x + -64x = -48x
40 + -48x = 76 + 64x + -64x

Combine like terms: 64x + -64x = 0
40 + -48x = 76 + 0
40 + -48x = 76

Add '-40' to each side of the equation.
40 + -40 + -48x = 76 + -40

Combine like terms: 40 + -40 = 0
0 + -48x = 76 + -40
-48x = 76 + -40

Combine like terms: 76 + -40 = 36
-48x = 36

Divide each side by '-48'.
x = -0.75

Simplifying
x = -0.75

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